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

[latex]Log _{1/4} ( \frac{1}{2} x-3)=-1[/latex] [latex]Log _{1/4} ( \frac{1}{2} x-3)=-1*Log _{1/4} ( \frac{1}{4} )[/latex] [latex]Log _{1/4} ( \frac{1}{2} x-3)=Log _{1/4}( \frac{1}{4}) ^{-1} [/latex] [latex]Log _{1/4} ( \frac{1}{2} x-3)=Log _{1/4} 4[/latex] [latex]\frac{1}{2}x-3=4[/latex] [latex] \frac{1}{2}x=7[/latex] [latex]x=14[/latex]