Note: All logs used in the steps below are base 3 logs
I'll use the following log rules
Rule 1: log(x)+log(y) = log(x*y)
Rule 2: y*log(x) = log(x^2)
Using those log rules, we get...
log(2) + 2*log(4)
log(2) + log(4^2) ... using rule 2
log(2) + log(16)
log(2*16) ... using rule 1
log(32)
------------------------------------------------------------
Final Answer: [tex]\log_{3}(32)[/tex]
