A = log6(108) = log6(36*3) = log6(36) + log6(3) = 2 + log2(3)/log2(6) =
= 2 + log2(3)/(log2(2) + log2(3)) = 2 + log2(3)/(1 + log2(3)
a = 2 + log2(3)/(1 + log2(3)= (2(1 + log2(3) + log2(3) /1 + log2(3) =
= (2 + 2log2(3) + log2(3))/(1 + log2(3) = (2 +3log2(3)) /(1 + log2(3)
a = (2 +3log2(3))/ (1 + log2(3))
a + alog2(3) = 2 +3log2(3)
alog2(3) -3log2(3) = 2 - a
log2(3) ( a-3) = 2-a
log2(3) = (2-a)/(a-3)