Question

Помогите! Найти:

log (√8) 4√2

Answer 1

log (√8) 4√2=log (√8) √32=log₈32=(log₂32)/3=5/3;

Answer 2

$log_{\sqrt{8}}(4\sqrt{2}) = log_{\sqrt{8}}(\sqrt{32}) = log_8(32) = log_{2^3}(2^5) = \frac{5}{3} log_2(2) = \frac{5}{3}$