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La ecuación:
Ecuación x+4=0
Ecuación x*(x^2+8*x+16)=5*(x+4)
Ecuación 7+8x=-2x-5
Ecuación ((57.6/(150-x))^0.15)*((150+x)+10)/171.712=1
Expresar {x} en función de y en la ecuación:
18*x-11*y=2
-18*x-2*y=9
-9*x+1*y=3
9*x+10*y=5
Expresiones idénticas
log(diez ,(-x))+log(diez ,x^ dos)= tres
logaritmo de (10,( menos x)) más logaritmo de (10,x al cuadrado ) es igual a 3
logaritmo de (diez ,( menos x)) más logaritmo de (diez ,x en el grado dos) es igual a tres
log(10,(-x))+log(10,x2)=3
log10,-x+log10,x2=3
log(10,(-x))+log(10,x²)=3
log(10,(-x))+log(10,x en el grado 2)=3
log10,-x+log10,x^2=3
Expresiones semejantes
log(10,(-x))-log(10,x^2)=3
log(10,(x))+log(10,x^2)=3
Expresiones con funciones
Logaritmo log
log(2*y+1)/2=c+log(sin(x))
log3x=-1
log(4-4x)/log(2)=log(81)/log(2)
log(x^2+14*x+50)/log(x+10)=1
log2(x^2-5)*log2/3(7-x)+3log2(x^2-5)-2log2/3(7-x)-6=0
Logaritmo log
log(2*y+1)/2=c+log(sin(x))
log3x=-1
log(4-4x)/log(2)=log(81)/log(2)
log(x^2+14*x+50)/log(x+10)=1
log2(x^2-5)*log2/3(7-x)+3log2(x^2-5)-2log2/3(7-x)-6=0

log(10,(-x))+log(10,x^2)=3 la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

Solución

Ha introducido [src]

              log(10)    
log(10, -x) + ------- = 3
                 / 2\    
              log\x /

\log{\left(10 \right)} + \frac{\log{\left(10 \right)}}{\log{\left(x^{2} \right)}} = 3

Simplificar

Gráfica

Trazar el gráfico f1(x)

Trazar el gráfico f2(x)

Respuesta rápida [src]

                                                                  /    /     4*pi*log(10)    \\                                                                                                                                                                                                                                                  /    /     4*pi*log(10)    \\
                                                                  |atan|---------------------||                                                                                                                                                                                                                                                  |atan|---------------------||
                      ________________________________________    |    |       2        2    ||    /                                                     /    /     4*pi*log(10)    \\\               /                                                     /    /     4*pi*log(10)    \\\           ________________________________________    |    |       2        2    ||
               ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|    |                                                     |atan|---------------------|||               |                                                     |atan|---------------------|||    ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|
             \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|    |         ________________________________________    |    |       2        2    |||               |         ________________________________________    |    |       2        2    |||  \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|
                                                                  \             2             /    |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||               |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||                                                       \             2             /
             ----------------------------------------------------------------------------------    |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||               |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||  ----------------------------------------------------------------------------------
     4 ____                                          12                                            |                                                     \             2             /|     4 ____    |                                                     \             2             /|                                          12                                        
x1 = \/ 10 *e                                                                                  *sin|----------------------------------------------------------------------------------| - I*\/ 10 *cos|----------------------------------------------------------------------------------|*e                                                                                  
                                                                                                   \                                        12                                        /               \                                        12                                        /

x_{1} = \frac{\sqrt[4]{10} \sin{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}} - \frac{\sqrt[4]{10} i \cos{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}}

x1 = 10^(1/4)*exp(sqrt(3)*(-56*pi^2*log(10)^2 + 9*log(10)^4 + 144*pi^4)^(1/4)*sin(atan(4*pi*log(10)/(-12*pi^2 + 3*log(10)^2))/2)/12)*sin(sqrt(3)*(-56*pi^2*log(10)^2 + 9*log(10)^4 + 144*pi^4)^(1/4)*cos(atan(4*pi*log(10)/(-12*pi^2 + 3*log(10)^2))/2)/12) - 10^(1/4)*i*exp(sqrt(3)*(-56*pi^2*log(10)^2 + 9*log(10)^4 + 144*pi^4)^(1/4)*sin(atan(4*pi*log(10)/(-12*pi^2 + 3*log(10)^2))/2)/12)*cos(sqrt(3)*(-56*pi^2*log(10)^2 + 9*log(10)^4 + 144*pi^4)^(1/4)*cos(atan(4*pi*log(10)/(-12*pi^2 + 3*log(10)^2))/2)/12)

Suma y producto de raíces [src]

suma

                                                             /    /     4*pi*log(10)    \\                                                                                                                                                                                                                                                  /    /     4*pi*log(10)    \\
                                                             |atan|---------------------||                                                                                                                                                                                                                                                  |atan|---------------------||
                 ________________________________________    |    |       2        2    ||    /                                                     /    /     4*pi*log(10)    \\\               /                                                     /    /     4*pi*log(10)    \\\           ________________________________________    |    |       2        2    ||
          ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|    |                                                     |atan|---------------------|||               |                                                     |atan|---------------------|||    ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|
        \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|    |         ________________________________________    |    |       2        2    |||               |         ________________________________________    |    |       2        2    |||  \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|
                                                             \             2             /    |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||               |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||                                                       \             2             /
        ----------------------------------------------------------------------------------    |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||               |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||  ----------------------------------------------------------------------------------
4 ____                                          12                                            |                                                     \             2             /|     4 ____    |                                                     \             2             /|                                          12                                        
\/ 10 *e                                                                                  *sin|----------------------------------------------------------------------------------| - I*\/ 10 *cos|----------------------------------------------------------------------------------|*e                                                                                  
                                                                                              \                                        12                                        /               \                                        12                                        /

\frac{\sqrt[4]{10} \sin{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}} - \frac{\sqrt[4]{10} i \cos{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}}

                                                             /    /     4*pi*log(10)    \\                                                                                                                                                                                                                                                  /    /     4*pi*log(10)    \\
                                                             |atan|---------------------||                                                                                                                                                                                                                                                  |atan|---------------------||
                 ________________________________________    |    |       2        2    ||    /                                                     /    /     4*pi*log(10)    \\\               /                                                     /    /     4*pi*log(10)    \\\           ________________________________________    |    |       2        2    ||
          ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|    |                                                     |atan|---------------------|||               |                                                     |atan|---------------------|||    ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|
        \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|    |         ________________________________________    |    |       2        2    |||               |         ________________________________________    |    |       2        2    |||  \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|
                                                             \             2             /    |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||               |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||                                                       \             2             /
        ----------------------------------------------------------------------------------    |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||               |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||  ----------------------------------------------------------------------------------
4 ____                                          12                                            |                                                     \             2             /|     4 ____    |                                                     \             2             /|                                          12                                        
\/ 10 *e                                                                                  *sin|----------------------------------------------------------------------------------| - I*\/ 10 *cos|----------------------------------------------------------------------------------|*e                                                                                  
                                                                                              \                                        12                                        /               \                                        12                                        /

\frac{\sqrt[4]{10} \sin{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}} - \frac{\sqrt[4]{10} i \cos{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}}

producto

                                                             /    /     4*pi*log(10)    \\                                                                                                                                                                                                                                                  /    /     4*pi*log(10)    \\
                                                             |atan|---------------------||                                                                                                                                                                                                                                                  |atan|---------------------||
                 ________________________________________    |    |       2        2    ||    /                                                     /    /     4*pi*log(10)    \\\               /                                                     /    /     4*pi*log(10)    \\\           ________________________________________    |    |       2        2    ||
          ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|    |                                                     |atan|---------------------|||               |                                                     |atan|---------------------|||    ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/|
        \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|    |         ________________________________________    |    |       2        2    |||               |         ________________________________________    |    |       2        2    |||  \/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|---------------------------|
                                                             \             2             /    |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||               |  ___ 4 /      4             4        2    2         |    \- 12*pi  + 3*log (10)/||                                                       \             2             /
        ----------------------------------------------------------------------------------    |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||               |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|---------------------------||  ----------------------------------------------------------------------------------
4 ____                                          12                                            |                                                     \             2             /|     4 ____    |                                                     \             2             /|                                          12                                        
\/ 10 *e                                                                                  *sin|----------------------------------------------------------------------------------| - I*\/ 10 *cos|----------------------------------------------------------------------------------|*e                                                                                  
                                                                                              \                                        12                                        /               \                                        12                                        /

\frac{\sqrt[4]{10} \sin{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}} - \frac{\sqrt[4]{10} i \cos{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12} \right)}}{e^{- \frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{- 12 \pi^{2} + 3 \log{\left(10 \right)}^{2}} \right)}}{2} \right)}}{12}}}

                                                                                                                                                                                                                                                        /    /     4*pi*log(10)     \\ 
                                                                                                                                                                                                                                                        |atan|----------------------|| 
       /       /                                                     /    /     4*pi*log(10)     \\\      /                                                     /    /     4*pi*log(10)     \\\\            ________________________________________    |    |  /     2           2\|| 
       |       |                                                     |atan|----------------------|||      |                                                     |atan|----------------------||||     ___ 4 /      4             4        2    2         |    \3*\- log (10) + 4*pi //| 
       |       |         ________________________________________    |    |  /     2           2\|||      |         ________________________________________    |    |  /     2           2\||||  -\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *sin|----------------------------| 
       |       |  ___ 4 /      4             4        2    2         |    \3*\- log (10) + 4*pi //||      |  ___ 4 /      4             4        2    2         |    \3*\- log (10) + 4*pi //|||                                                        \             2              / 
       |       |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|----------------------------||      |\/ 3 *\/  9*log (10) + 144*pi  - 56*pi *log (10) *cos|----------------------------|||  -------------------------------------------------------------------------------------
4 ____ |       |                                                     \             2              /|      |                                                     \             2              /||                                            12                                         
\/ 10 *|- I*cos|-----------------------------------------------------------------------------------| + sin|-----------------------------------------------------------------------------------||*e                                                                                     
       \       \                                         12                                        /      \                                         12                                        //

\frac{\sqrt[4]{10} \left(\sin{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{3 \left(- \log{\left(10 \right)}^{2} + 4 \pi^{2}\right)} \right)}}{2} \right)}}{12} \right)} - i \cos{\left(\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \cos{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{3 \left(- \log{\left(10 \right)}^{2} + 4 \pi^{2}\right)} \right)}}{2} \right)}}{12} \right)}\right)}{e^{\frac{\sqrt{3} \sqrt[4]{- 56 \pi^{2} \log{\left(10 \right)}^{2} + 9 \log{\left(10 \right)}^{4} + 144 \pi^{4}} \sin{\left(\frac{\operatorname{atan}{\left(\frac{4 \pi \log{\left(10 \right)}}{3 \left(- \log{\left(10 \right)}^{2} + 4 \pi^{2}\right)} \right)}}{2} \right)}}{12}}}

10^(1/4)*(-i*cos(sqrt(3)*(9*log(10)^4 + 144*pi^4 - 56*pi^2*log(10)^2)^(1/4)*cos(atan(4*pi*log(10)/(3*(-log(10)^2 + 4*pi^2)))/2)/12) + sin(sqrt(3)*(9*log(10)^4 + 144*pi^4 - 56*pi^2*log(10)^2)^(1/4)*cos(atan(4*pi*log(10)/(3*(-log(10)^2 + 4*pi^2)))/2)/12))*exp(-sqrt(3)*(9*log(10)^4 + 144*pi^4 - 56*pi^2*log(10)^2)^(1/4)*sin(atan(4*pi*log(10)/(3*(-log(10)^2 + 4*pi^2)))/2)/12)

Respuesta numérica [src]

x1 = -3.16227766016838

x1 = -3.16227766016838

Otras calculadoras

¿Cómo usar?

Expresiones idénticas

Expresiones semejantes

Expresiones con funciones

log(10,(-x))+log(10,x^2)=3 la ecuación

Solución numérica:

Solución