Question

log de um meio (x-2)=-3

Answer 1

log 1/3 (x-2) = -3
log 1/3 (x-2) = 1/3
x-2 = 1
x = 1 + 2
x = 3

Answer 2

$log_{ \frac{1}{2} }(x - 2) = 3 \\ \\ ( \frac{1}{2} )^{3}=x - 2 \\ \\ \frac{1}{8} = x - 2 \\ \\ x = \frac{1}{8} + 2 \\ \\ x = \frac{1+16}{8} \\ \\ x = \frac{17}{8}$

Espero ter ajudado.