Question

Найдите корень уравнения log1/4 (1/2х-3)=-1.

Answer 1

$Log _{1/4} ( frac{1}{2} x-3)=-1$
$Log _{1/4} ( frac{1}{2} x-3)=-1*Log _{1/4} ( frac{1}{4} )$
$Log _{1/4} ( frac{1}{2} x-3)=Log _{1/4}( frac{1}{4}) ^{-1}$
$Log _{1/4} ( frac{1}{2} x-3)=Log _{1/4} 4$
$frac{1}{2}x-3=4$
$frac{1}{2}x=7$
$x=14$