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Can someone please review my work and advise.

## Homework Statement

Given log(a)b=3 , use the properties of logs to evaluate

4log(a)(1/b)+2log(a)b^3

## Homework Equations

I used the rules

log(a)1 = 0

log(a)(x/y) = log(a)x-log(a)y

log(a)x^m = mlog(a)x

## The Attempt at a Solution

=4loga1-4logab+2logab^3

=-12+6*3

=-12+18

=6