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- La ecuación:
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Ecuación (x^2-x-12)/(x+3)=0
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Ecuación 8-x=5
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Ecuación x+4=7
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Ecuación x^3+4*x^2-4*x-16=0
- Expresar {x} en función de y en la ecuación:
- -9*x-12*y=-19
- -8*x+3*y=-4
- 10*x+3*y=2
- -10*x-12*y=-10
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Expresiones idénticas
- log(nueve ^x+9a^ tres)/log(tres)=x
- logaritmo de (9 en el grado x más 9a al cubo ) dividir por logaritmo de (3) es igual a x
- logaritmo de (nueve en el grado x más 9a en el grado tres) dividir por logaritmo de (tres) es igual a x
- log(9x+9a3)/log(3)=x
- log9x+9a3/log3=x
- log(9^x+9a³)/log(3)=x
- log(9 en el grado x+9a en el grado 3)/log(3)=x
- log9^x+9a^3/log3=x
- log(9^x+9a^3) dividir por log(3)=x
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Expresiones semejantes
- log(9^x-9a^3)/log(3)=x
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Expresiones con funciones
- Logaritmo log
- log(1)/3*(4*x+5)=-1
- log(x)+2*x=0
- log[7,(7x+7)]-log[7,(4x-6)]=log[7,3]
- log12(5*x^2+4*x-1)/(x+1)=x^2-3x-7
- log8(6x+13)=log8(8x−11)
- Logaritmo log
- log(1)/3*(4*x+5)=-1
- log(x)+2*x=0
- log[7,(7x+7)]-log[7,(4x-6)]=log[7,3]
- log12(5*x^2+4*x-1)/(x+1)=x^2-3x-7
- log8(6x+13)=log8(8x−11)
log(9^x+9a^3)/log(3)=x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
/ x 3\
log\9 + 9*a /
-------------- = x
log(3)
$$\frac{\log{\left(9^{x} + 9 a^{3} \right)}}{\log{\left(3 \right)}} = x$$
Gráfica
Suma y producto de raíces
[src]
suma
/| ___________|\ /| ___________|\
|| / 3 || || / 3 ||
||1 \/ 1 - 36*a || / ___________\ ||1 \/ 1 - 36*a || / ___________\
log||- - --------------|| | / 3 | log||- + --------------|| | / 3 |
\|2 2 |/ I*arg\1 - \/ 1 - 36*a / \|2 2 |/ I*arg\1 + \/ 1 - 36*a /
------------------------- + ------------------------- + ------------------------- + -------------------------
log(3) log(3) log(3) log(3)
$$\left(\frac{\log{\left(\left|{\frac{1}{2} - \frac{\sqrt{1 - 36 a^{3}}}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(1 - \sqrt{1 - 36 a^{3}} \right)}}{\log{\left(3 \right)}}\right) + \left(\frac{\log{\left(\left|{\frac{\sqrt{1 - 36 a^{3}}}{2} + \frac{1}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(\sqrt{1 - 36 a^{3}} + 1 \right)}}{\log{\left(3 \right)}}\right)$$
=
/| ___________|\ /| ___________|\
|| / 3 || || / 3 ||
||1 \/ 1 - 36*a || ||1 \/ 1 - 36*a || / ___________\ / ___________\
log||- + --------------|| log||- - --------------|| | / 3 | | / 3 |
\|2 2 |/ \|2 2 |/ I*arg\1 + \/ 1 - 36*a / I*arg\1 - \/ 1 - 36*a /
------------------------- + ------------------------- + ------------------------- + -------------------------
log(3) log(3) log(3) log(3)
$$\frac{\log{\left(\left|{\frac{1}{2} - \frac{\sqrt{1 - 36 a^{3}}}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{\log{\left(\left|{\frac{\sqrt{1 - 36 a^{3}}}{2} + \frac{1}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(1 - \sqrt{1 - 36 a^{3}} \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(\sqrt{1 - 36 a^{3}} + 1 \right)}}{\log{\left(3 \right)}}$$
producto
/ /| ___________|\ \ / /| ___________|\ \ | || / 3 || | | || / 3 || | | ||1 \/ 1 - 36*a || / ___________\| | ||1 \/ 1 - 36*a || / ___________\| |log||- - --------------|| | / 3 || |log||- + --------------|| | / 3 || | \|2 2 |/ I*arg\1 - \/ 1 - 36*a /| | \|2 2 |/ I*arg\1 + \/ 1 - 36*a /| |------------------------- + -------------------------|*|------------------------- + -------------------------| \ log(3) log(3) / \ log(3) log(3) /
$$\left(\frac{\log{\left(\left|{\frac{1}{2} - \frac{\sqrt{1 - 36 a^{3}}}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(1 - \sqrt{1 - 36 a^{3}} \right)}}{\log{\left(3 \right)}}\right) \left(\frac{\log{\left(\left|{\frac{\sqrt{1 - 36 a^{3}}}{2} + \frac{1}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(\sqrt{1 - 36 a^{3}} + 1 \right)}}{\log{\left(3 \right)}}\right)$$
=
/ /| ___________|\\ / /| ___________|\\
| / ___________\ || / 3 ||| | / ___________\ || / 3 |||
| | / 3 | ||1 \/ 1 - 36*a ||| | | / 3 | ||1 \/ 1 - 36*a |||
|I*arg\1 + \/ 1 - 36*a / + log||- + --------------|||*|I*arg\1 - \/ 1 - 36*a / + log||- - --------------|||
\ \|2 2 |// \ \|2 2 |//
---------------------------------------------------------------------------------------------------------------
2
log (3)
$$\frac{\left(\log{\left(\left|{\frac{1}{2} - \frac{\sqrt{1 - 36 a^{3}}}{2}}\right| \right)} + i \arg{\left(1 - \sqrt{1 - 36 a^{3}} \right)}\right) \left(\log{\left(\left|{\frac{\sqrt{1 - 36 a^{3}}}{2} + \frac{1}{2}}\right| \right)} + i \arg{\left(\sqrt{1 - 36 a^{3}} + 1 \right)}\right)}{\log{\left(3 \right)}^{2}}$$
(i*arg(1 + sqrt(1 - 36*a^3)) + log(Abs(1/2 + sqrt(1 - 36*a^3)/2)))*(i*arg(1 - sqrt(1 - 36*a^3)) + log(Abs(1/2 - sqrt(1 - 36*a^3)/2)))/log(3)^2
Respuesta rápida
[src]
/| ___________|\
|| / 3 ||
||1 \/ 1 - 36*a || / ___________\
log||- - --------------|| | / 3 |
\|2 2 |/ I*arg\1 - \/ 1 - 36*a /
x1 = ------------------------- + -------------------------
log(3) log(3)
$$x_{1} = \frac{\log{\left(\left|{\frac{1}{2} - \frac{\sqrt{1 - 36 a^{3}}}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(1 - \sqrt{1 - 36 a^{3}} \right)}}{\log{\left(3 \right)}}$$
/| ___________|\
|| / 3 ||
||1 \/ 1 - 36*a || / ___________\
log||- + --------------|| | / 3 |
\|2 2 |/ I*arg\1 + \/ 1 - 36*a /
x2 = ------------------------- + -------------------------
log(3) log(3)
$$x_{2} = \frac{\log{\left(\left|{\frac{\sqrt{1 - 36 a^{3}}}{2} + \frac{1}{2}}\right| \right)}}{\log{\left(3 \right)}} + \frac{i \arg{\left(\sqrt{1 - 36 a^{3}} + 1 \right)}}{\log{\left(3 \right)}}$$
x2 = log(Abs(sqrt(1 - 36*a^3)/2 + 1/2))/log(3) + i*arg(sqrt(1 - 36*a^3) + 1)/log(3)