Sr Examen
Otras calculadoras
-
¿Cómo usar?
- La ecuación:
-
Ecuación x^3-x^2-x-1=0
-
Ecuación 3x-2(3x+4)=10
-
Ecuación 12-4(x-3)=39-9x
-
Ecuación 0,2x+2,7=1,4-1,1x
- Expresar {x} en función de y en la ecuación:
- -11*x-3*y=14
- 2*x-15*y=-1
- -18*x-6*y=-1
- 6*x+9*y=-9
-
Expresiones idénticas
- log(tres)^(dos)*x- tres *log(tres *x)+ dos = cero
- logaritmo de (3) en el grado (2) multiplicar por x menos 3 multiplicar por logaritmo de (3 multiplicar por x) más 2 es igual a 0
- logaritmo de (tres) en el grado (dos) multiplicar por x menos tres multiplicar por logaritmo de (tres multiplicar por x) más dos es igual a cero
- log(3)(2)*x-3*log(3*x)+2=0
- log32*x-3*log3*x+2=0
- log(3)^(2)x-3log(3x)+2=0
- log(3)(2)x-3log(3x)+2=0
- log32x-3log3x+2=0
- log3^2x-3log3x+2=0
- log(3)^(2)*x-3*log(3*x)+2=O
-
Expresiones semejantes
- log(3)^(2)*x+3*log(3*x)+2=0
- log(3)^(2)*x-3*log(3*x)-2=0
-
Expresiones con funciones
- Logaritmo log
- log(u)+1/u=c-log(x)
- log((x^2)-x)/log(2)=(1/2)*(log(4)/log(2))
- log(x-7)25=2
- log(5,(4x+5))=2+log(5,(x-4))
- log(x)=-5,29
- Logaritmo log
- log(u)+1/u=c-log(x)
- log((x^2)-x)/log(2)=(1/2)*(log(4)/log(2))
- log(x-7)25=2
- log(5,(4x+5))=2+log(5,(x-4))
- log(x)=-5,29
log(3)^(2)*x-3*log(3*x)+2=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Ha introducido
[src]
2 log (3)*x - 3*log(3*x) + 2 = 0
$$\left(x \log{\left(3 \right)}^{2} - 3 \log{\left(3 x \right)}\right) + 2 = 0$$
Suma y producto de raíces
[src]
suma
/ 2 2/3 \ / 2 2/3 \
|-log (3)*e | |-log (3)*e |
3*W|--------------| 3*W|--------------, -1|
\ 9 / \ 9 /
- ------------------- - -----------------------
2 2
log (3) log (3)
$$- \frac{3 W\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}} - \frac{3 W_{-1}\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}}$$
=
/ 2 2/3 \ / 2 2/3 \
|-log (3)*e | |-log (3)*e |
3*W|--------------| 3*W|--------------, -1|
\ 9 / \ 9 /
- ------------------- - -----------------------
2 2
log (3) log (3)
$$- \frac{3 W\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}} - \frac{3 W_{-1}\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}}$$
producto
/ 2 2/3 \ / 2 2/3 \
|-log (3)*e | |-log (3)*e |
-3*W|--------------| -3*W|--------------, -1|
\ 9 / \ 9 /
--------------------*------------------------
2 2
log (3) log (3)
$$- \frac{3 W\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}} \left(- \frac{3 W_{-1}\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}}\right)$$
=
/ 2 2/3 \ / 2 2/3 \
|-log (3)*e | |-log (3)*e |
9*W|--------------|*W|--------------, -1|
\ 9 / \ 9 /
-----------------------------------------
4
log (3)
$$\frac{9 W\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right) W_{-1}\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{4}}$$
9*LambertW(-log(3)^2*exp(2/3)/9)*LambertW(-log(3)^2*exp(2/3)/9, -1)/log(3)^4
Respuesta rápida
[src]
/ 2 2/3 \
|-log (3)*e |
-3*W|--------------|
\ 9 /
x1 = --------------------
2
log (3)
$$x_{1} = - \frac{3 W\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}}$$
/ 2 2/3 \
|-log (3)*e |
-3*W|--------------, -1|
\ 9 /
x2 = ------------------------
2
log (3)
$$x_{2} = - \frac{3 W_{-1}\left(- \frac{e^{\frac{2}{3}} \log{\left(3 \right)}^{2}}{9}\right)}{\log{\left(3 \right)}^{2}}$$
x2 = -3*LambertW(-exp(2/3)*log(3^2/9, -1)/log(3)^2)