Properties of logarithms

Question

Expand each logarithm.

1) log(6/11)^5

2) log(3 x 2^3)

3) log 2^4/5

 

Answer 1

1) log(6/11)^5=5(log(6/11))=5(log6-log11)=5log6-5log11

 

2) log(3*2^3)=log3+log2^3=log3+3log2

 

3) assuming you mean log([2^4]/5)

    log2^4-log5=4log2-log5