1)log2(a)^3/log2(a)=2)loga(4)*log8(a)^2=3)Logкорень из 3(a)+log9(a)^2/log81(a)=

1) [latex] \frac{log_2a^3}{log_2a} = \frac{3*log_2a}{log_2a} = 3[/latex] 2) [latex]log_a4*log_8a^2= log_a4*2*log_{8}a= log_a4*2* \frac{1}{ log_{a}8}=[/latex] [latex] =2*log_a2*2* \frac{1}{3* log_{a}2}= \frac{4}{3} [/latex] 3) [latex]log_{\sqrt{3}} a +log_9(a)^2/log_{81}(a)= 2*log_3 a+( 2 log_9a) / ( \frac{1}{2} log_{9}a)=[/latex] [latex]= 2*log_3 a+ 2 / \frac{1}{2} = 4+ 2* log_3 a[/latex]