Произведение корней 3^(2*x+5)=27*x

Сумма и произведение корней

сумма

  re(W(-log(387420489)))   I*im(W(-log(387420489)))
- ---------------------- - ------------------------
         2*log(3)                  2*log(3)        

$$- \frac{\operatorname{re}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$

=

  re(W(-log(387420489)))   I*im(W(-log(387420489)))
- ---------------------- - ------------------------
         2*log(3)                  2*log(3)        

$$- \frac{\operatorname{re}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$

произведение

  re(W(-log(387420489)))   I*im(W(-log(387420489)))
- ---------------------- - ------------------------
         2*log(3)                  2*log(3)        

$$- \frac{\operatorname{re}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}} - \frac{i \operatorname{im}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$

=

-(I*im(W(-log(387420489))) + re(W(-log(387420489)))) 
-----------------------------------------------------
                       2*log(3)                      

$$- \frac{\operatorname{re}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)} + i \operatorname{im}{\left(W\left(- \log{\left(387420489 \right)}\right)\right)}}{2 \log{\left(3 \right)}}$$