3 log x (5) + 1/2 log x (9)?

Answer 1

I take the quesiton is, "Could somebody show me how to simplify this? For free?"

Remember these two rules with logs:
log (a^b) = b log (a)
log (ab) = log(a) + log (b)

Move the coeffecients to the exponents:
log[base x] (5^3) + log[base x] (9^ (1/2)) =
log[base x] (125) + log[base x] (3)

Now combine the terms
log [base x] (125*3) =
log [base x] (375)

Answer 2

=log x (125*3)= log x (375)