question algebra

Question

\log _b4x^2y

expand the following logarithm as much as possible

Answer 1

I assume the problem is:

log_b(4x²y)

First, use the log rule log(abc) = log(a) + log(b) + log(c):

log_b(4) + log_b(x²) + log_b(y)

Now use the rule log(a^b) = b log(a):

log_b(4) + 2log_b(x) + log_b(y)

and that's as far as you can take it.