Question

`3^a=27sqrt3`. What is a?

`3^a=27sqrt3`

How do I work out 'a'?

Answer 1

`a=7/2`

Explanation:

`3^a=27sqrt3`

`3^a = 3^3 * 3^(1/2)`

`3^a=3^(3+1/2)`

`3^a= 3^(7/2)`

`a=7/2`