how do i combine 3log(M) and -2log(M)

Question

do you multiply exponents when the bases are being added together?

The whole question is 3 Log (M)+ Log (N)- 2 Log (M)

Answer 1

Tia

 

       3 Log (M)+ Log (N)- 2 Log (M)=log(M)+log(N)=log(M*N) 

Note 3log(M)-2log(M)=log(M³/M²)=log(M)

 

Jim

Answer 2

3 log M + Log N - 2 log M=

 

Log( M^3 . N / M^2) = Log MN