Sr Examen

Otras calculadoras

-(1/(y/x))*log(y/x)=1/x la ecuación

El profesor se sorprenderá mucho al ver tu solución correcta😉

v

Solución numérica:

Buscar la solución numérica en el intervalo [, ]

Solución

Ha introducido [src]
-1     /y\   1
---*log|-| = -
/y\    \x/   x
|-|           
\x/           
$$- \frac{1}{\frac{1}{x} y} \log{\left(\frac{y}{x} \right)} = \frac{1}{x}$$
Gráfica
Suma y producto de raíces [src]
suma
    /    /2\\     /    /2\\
    |   W|-||     |   W|-||
    |    \y/|     |    \y/|
    |   ----|     |   ----|
    |    2  |     |    2  |
I*im\y*e    / + re\y*e    /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
=
    /    /2\\     /    /2\\
    |   W|-||     |   W|-||
    |    \y/|     |    \y/|
    |   ----|     |   ----|
    |    2  |     |    2  |
I*im\y*e    / + re\y*e    /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
producto
    /    /2\\     /    /2\\
    |   W|-||     |   W|-||
    |    \y/|     |    \y/|
    |   ----|     |   ----|
    |    2  |     |    2  |
I*im\y*e    / + re\y*e    /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
=
    /    /2\\     /    /2\\
    |   W|-||     |   W|-||
    |    \y/|     |    \y/|
    |   ----|     |   ----|
    |    2  |     |    2  |
I*im\y*e    / + re\y*e    /
$$\operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
i*im(y*exp(LambertW(2/y)/2)) + re(y*exp(LambertW(2/y)/2))
Respuesta rápida [src]
         /    /2\\     /    /2\\
         |   W|-||     |   W|-||
         |    \y/|     |    \y/|
         |   ----|     |   ----|
         |    2  |     |    2  |
x1 = I*im\y*e    / + re\y*e    /
$$x_{1} = \operatorname{re}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)} + i \operatorname{im}{\left(y e^{\frac{W\left(\frac{2}{y}\right)}{2}}\right)}$$
x1 = re(y*exp(LambertW(2/y)/2)) + i*im(y*exp(LambertW(2/y)/2))