SOLUTION: Which of the two following expressions is equivalent to Log(mn)^2? Show your work. (log m + log n)^2 OR 2log m + 2log n Thank you!

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Which of the two following expressions is equivalent to Log(mn)^2? Show your work. (log m + log n)^2 OR 2log m + 2log n Thank you!      Log On


   

Question 763169: Which of the two following expressions is equivalent to Log(mn)^2? Show your work.
(log m + log n)^2 OR 2log m + 2log n
Thank you!
Answer by ramkikk66(644) About Me  (Show Source):
You can put this solution on YOUR website!
Log (M*N) = Log M + Log N
Log (M^N) = N * log M
Applying the above 2 laws,
Log (mn)^2
= 2 * log(m*n)
= 2 * (log m + log n)
= highlight%282%2Alog+m+%2B+2%2Alog+n%29

:)