5^x^-1=2^x la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
________ ________
\/ log(5) \/ log(5)
- ---------- + ----------
________ ________
\/ log(2) \/ log(2)
$$- \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}} + \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}$$
$$0$$
________ ________
-\/ log(5) \/ log(5)
------------*----------
________ ________
\/ log(2) \/ log(2)
$$- \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}} \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}$$
$$- \frac{\log{\left(5 \right)}}{\log{\left(2 \right)}}$$
________
-\/ log(5)
x1 = ------------
________
\/ log(2)
$$x_{1} = - \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}$$
________
\/ log(5)
x2 = ----------
________
\/ log(2)
$$x_{2} = \frac{\sqrt{\log{\left(5 \right)}}}{\sqrt{\log{\left(2 \right)}}}$$
x2 = sqrt(log(5))/sqrt(log(2))