Question

Log18 3+log18 6найти значение вырожения

Answer 1

log18 3+log18 6 = log18 (3*6)= log18 18= 1

Answer 2

$log_{18}3+log_{18}6=\frac{1}{log_318}+\frac{log_36}{log_318}=\frac{1+log_3(3\cdot 2)}{log_3(3\cdot 6)}=\frac{1+log_33+log_32}{log_33+log_36}=\\\\=\frac{1+1+log_32}{1+1+log_32}=1$