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- La ecuación:
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Ecuación (x-3)*(x+2)=0
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Ecuación z^2-6*z+10=0
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Ecuación 4/(x-4)=-5
-
Ecuación (x-6)^2=-24*x
- Expresar {x} en función de y en la ecuación:
- -7*x-13*y=5
- 15*x+1*y=19
- 7*x-1*y=-7
- -14*x-12*y=5
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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
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Expresiones semejantes
- log(10,(-x))-log(10,x^2)=3
- log(10,(x))+log(10,x^2)=3
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Expresiones con funciones
- Logaritmo log
- log2sin2pi/15
- log(2*y+1)/2=c-log(cos(x))
- log(5*x)=2
- log(y-1)/2-log(y+1)/2=Const-x
- log(2)^2*(x)+3*(Abs((log(x)/log(2))))+2=0
- Logaritmo log
- log2sin2pi/15
- log(2*y+1)/2=c-log(cos(x))
- log(5*x)=2
- log(y-1)/2-log(y+1)/2=Const-x
- log(2)^2*(x)+3*(Abs((log(x)/log(2))))+2=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 /
$$\log{\left(10 \right)} + \frac{\log{\left(10 \right)}}{\log{\left(x^{2} \right)}} = 3$$
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)