Given LG2 = a, Lg3 = B, find log125

Given LG2 = a, Lg3 = B, find log125

log(a)N=log(m)N/log(m)a
log(12)5
=lg5 / lg12
=lg(10/2) / lg(3x4)
=(1-lg2) / (lg3+lg4)
=(1-lg2) / (lg3+2lg2)
=(1-a) / (b+2a)