Question

Решите логарифмический пример

Answer 1

$1) 11^{log_24+log_{11}2} = 11^{2+log_{11}2} = 11^{log_{11}11^2+log_{11}2} = \ \ = 11^{log_{11}11^2*2} = 11^2*2 = 242$

$2) log_{256}32 = frac{ log_{2}32}{ log_{2}256} = frac{ log_{2}2^5}{ log_{2}2^8} = frac{5}{8}$