Question

Решите уравнение
Log1/2 (x-3)=-4

Answer 1

$log_{ frac{1}{2}}(x-3) =-4 \ log_{ frac{1}{2}}(x-3) =-4log_{ frac{1}{2}} frac{1}{2} \ log_{ frac{1}{2}}(x-3) =log_{ frac{1}{2}}( frac{1}{2})^{-4} \ log_{ frac{1}{2}}(x-3) =log_{ frac{1}{2}}16 \ x-3=16 \ x=16+3 \ x=19$