Question

Докажите, что:
$log _2 4 sqrt{2} = 2.5$

Answer 1

$log_2 4sqrt{2}=log_2 (2^2*2^{frac{1}{2}})=log_2 2^{2+frac{1}{2}}=\\ log_2 2^{2.5}=2.5*log_2 2=2.5*1=2.5$