(3^x-6)^2-16*(|3^x-6|)=15-2*3^(x+1) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
log(5) log(13)
2 + ------ + -------
log(3) log(3)
$$\frac{\log{\left(13 \right)}}{\log{\left(3 \right)}} + \left(\frac{\log{\left(5 \right)}}{\log{\left(3 \right)}} + 2\right)$$
log(5) log(13)
2 + ------ + -------
log(3) log(3)
$$\frac{\log{\left(5 \right)}}{\log{\left(3 \right)}} + 2 + \frac{\log{\left(13 \right)}}{\log{\left(3 \right)}}$$
log(5) log(13)
2*------*-------
log(3) log(3)
$$2 \frac{\log{\left(5 \right)}}{\log{\left(3 \right)}} \frac{\log{\left(13 \right)}}{\log{\left(3 \right)}}$$
2*log(5)*log(13)
----------------
2
log (3)
$$\frac{2 \log{\left(5 \right)} \log{\left(13 \right)}}{\log{\left(3 \right)}^{2}}$$
2*log(5)*log(13)/log(3)^2
$$x_{1} = 2$$
log(5)
x2 = ------
log(3)
$$x_{2} = \frac{\log{\left(5 \right)}}{\log{\left(3 \right)}}$$
log(13)
x3 = -------
log(3)
$$x_{3} = \frac{\log{\left(13 \right)}}{\log{\left(3 \right)}}$$