Сумма корней 9^x=27

Сумма и произведение корней

сумма

3   log(27)     pi*I 
- + -------- + ------
2   2*log(3)   log(3)

$$\frac{3}{2} + \left(\frac{\log{\left(27 \right)}}{2 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}\right)$$

=

3   log(27)     pi*I 
- + -------- + ------
2   2*log(3)   log(3)

$$\frac{3}{2} + \frac{\log{\left(27 \right)}}{2 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}$$

произведение

  /log(27)     pi*I \
3*|-------- + ------|
  \2*log(3)   log(3)/
---------------------
          2          

$$\frac{3 \left(\frac{\log{\left(27 \right)}}{2 \log{\left(3 \right)}} + \frac{i \pi}{\log{\left(3 \right)}}\right)}{2}$$

=

9    3*pi*I 
- + --------
4   2*log(3)

$$\frac{9}{4} + \frac{3 i \pi}{2 \log{\left(3 \right)}}$$