3^(2*x-3)=3^(3-2*x)*2^(3-2*x) la ecuación
El profesor se sorprenderá mucho al ver tu solución correcta😉
Solución
Suma y producto de raíces
[src]
3 log(5832) pi*I
- + --------- + -------
2 2*log(18) log(18)
$$\frac{3}{2} + \left(\frac{\log{\left(5832 \right)}}{2 \log{\left(18 \right)}} + \frac{i \pi}{\log{\left(18 \right)}}\right)$$
3 log(5832) pi*I
- + --------- + -------
2 2*log(18) log(18)
$$\frac{3}{2} + \frac{\log{\left(5832 \right)}}{2 \log{\left(18 \right)}} + \frac{i \pi}{\log{\left(18 \right)}}$$
/log(5832) pi*I \
3*|--------- + -------|
\2*log(18) log(18)/
-----------------------
2
$$\frac{3 \left(\frac{\log{\left(5832 \right)}}{2 \log{\left(18 \right)}} + \frac{i \pi}{\log{\left(18 \right)}}\right)}{2}$$
9 3*pi*I
- + ---------
4 2*log(18)
$$\frac{9}{4} + \frac{3 i \pi}{2 \log{\left(18 \right)}}$$
$$x_{1} = \frac{3}{2}$$
log(5832) pi*I
x2 = --------- + -------
2*log(18) log(18)
$$x_{2} = \frac{\log{\left(5832 \right)}}{2 \log{\left(18 \right)}} + \frac{i \pi}{\log{\left(18 \right)}}$$
x2 = log(5832)/(2*log(18)) + i*pi/log(18)
x2 = 1.5 + 1.08691646498667*i
x2 = 1.5 + 1.08691646498667*i