Easier Way to Simplify log_3 3x?

[JakePearson]

hey guys, i have a question, then i will show my solution, is there any chance you guys could help me find an easier way to get to the answer, cheers

question:
log_3 3x

answer:
log_a (yx) = log_a (y) + log_a (x)
log_3 (3) + log_3 (x)
log_a (y) = x -> y = a^x -> log_a (a) = 1 -> y = a^x -> x = 1

1 + log_3 X

is there an easier way of getting to this answer

 

[rock.freak667]

That is the way to get the answer. You don't need to put the second to last line though in most cases unless you need to write down the rules when you apply them.