Question

помогите, пожалуйста, решить пример!

Answer 1

$log_{2sqrt{3}}{sqrt{18} over sqrt[3]{12}}=log_{2sqrt{3}}sqrt{18}-log_{2sqrt3}sqrt[3]{12}={1over2}log_{2sqrt3}18-{1over3}log_{2sqrt3}12\\log_4 6=log_2sqrt6=log_2sqrt3+{1over2}Rightarrow log_2sqrt3=a-{1over2}\\log_{2sqrt3}18=log_{2sqrt3}{(2sqrt3)^4over2^3}=4-3log_{2sqrt3}2=4-{3over log_2 2sqrt3}=4-{3over1+a-{1over2}}=\=4-{6over1+2a}\\log_{2sqrt3} 12=2\\{1over2}(4-{6over1+2a})-{1over3}*(2)={4over3}-{3over1+2a}$