Question

How do you simplify `3\log 3\sqrt { 3} + 3\log \frac { 1} { 3} + 3\log 27`?

Answer 1

`3log3sqrt3+3log(1/3)+3log27=21/2log3`

Explanation:

`3log3sqrt3+3log(1/3)+3log27`

= `3log(sqrt3)^3+3log3^(-1)+3log3^3`

= `3log3^(3/2)+3log3^(-1)+3log3^3`

= `9/2log3-3log3+9log3`

= `(9/2-3+9)log3`

= `21/2log3`