Question

Вычислите log₈4+0,5^(log₂3)

Answer 1

Log(2³)(2²)+2^log(2)(1/3)=2/3+1/3=1

Answer 2

$log_84+\frac{1}{2}^{log_23}=log_{2^3}2^2+2^{-log_23}=\frac{2}{3}+2^{log_2\frac{1}{3}}=\frac{2}{3}+\frac{1}{3}=1$