Question

Найдите x , если

log 2 x = 2 log 2 5 - 1/3 log 2 8 + log 2 0,2

Answer 1

$log_2 x = 2log_2 5 - frac{1}{3}log_2 8 + log_2 0,2, \ log_2 x = log_2 5^2 -log_2 (2^3)^{ frac{1}{3}} + log_2 0,2, \ log_2 x = log_2 frac{25cdot0,2}{2}, \ log_2 x = log_2 2,5, \ x=2,5.$