Question

найдите корень уравнения log1/5(1/2x+3)=-1

Answer 1

$\displaystyle log_{ \frac{1}{5}}( \frac{1}{2}x+3)=-1$

$\displaystyle \frac{1}{2}x+3= (\frac{1}{5})^{-1}$

$\displaystyle \frac{1}{2}x+3=5$

$\displaystyle \frac{1}{2}x=2$

$\displaystyle x=4$