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