((4^(x-1)-2^x-2)/(2^x+4))-((4^x+2^x-3)/(2^x-8))-(2*2^x-4)=0 la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
/50\
log|--|
\11/ pi*I
1 + 2 + ------- + ------
log(2) log(2)
$$\left(1 + 2\right) + \left(\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}\right)$$
/50\
log|--|
\11/ pi*I
3 + ------- + ------
log(2) log(2)
$$\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + 3 + \frac{i \pi}{\log{\left(2 \right)}}$$
/ /50\ \
|log|--| |
| \11/ pi*I |
2*|------- + ------|
\ log(2) log(2)/
$$2 \left(\frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}\right)$$
/ /50\\
2*|pi*I + log|--||
\ \11//
------------------
log(2)
$$\frac{2 \left(\log{\left(\frac{50}{11} \right)} + i \pi\right)}{\log{\left(2 \right)}}$$
2*(pi*i + log(50/11))/log(2)
$$x_{1} = 1$$
$$x_{2} = 2$$
/50\
log|--|
\11/ pi*I
x3 = ------- + ------
log(2) log(2)
$$x_{3} = \frac{\log{\left(\frac{50}{11} \right)}}{\log{\left(2 \right)}} + \frac{i \pi}{\log{\left(2 \right)}}$$
x3 = log(50/11)/log(2) + i*pi/log(2)