Can you please explain step by step on how to do this problem?

Question

Condense the expression.

2(log base 6 of 15 - log base 6 of 5) + 1/2 log base 6 of 1/25

Answer 1

2 log6 (3) + .5 log6 (1/25)

log6 (3^2) + log6 ((1/25)^.5)

log6 (9) + log6 (1/5)

log6 (9/5)