Question

log $log_{ \frac{1}{2} } (x-3) = 1$

Answer 1

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

$x-3 = \frac{1}{2}$

$\frac{2x-6=1}{2}$

$2x - 6 = 1$

$2x = 7$

$\boxed{x= \frac{7}{2} }$

Espero ter ajudado. :))

Answer 2

$log_{\frac{1}{2}}(x-3)=1 \\ \\ \frac{1}{2}=x-3 \\ \\ 1=2x-6 \\ \\ 2x=7\\ \\ \boxed{x=\frac{7}{2}}$