Given log12 (27) = a, find the value of log6 (16) It's coming

Given log12 (27) = a, find the value of log6 (16) It's coming

log12(27)=3log12(3)=3lg3/(2lg2+lg3)=a
====>lg3=[2a/(3-a)]lg2
log6(16)=4lg2/(lg2+lg3)=4lg2/[1+[2a/(3-a)]]g2=(12-4a)/(a+3)