Question

If `3^m=81`, then what is #m^3?

Answer 1

`64`

Explanation:

Sol. 1)
`81=3xx3xx3xx3=3^4`
`3^m=81, => 3^4=81, => m=4`
`=> m^3=4^3=4xx4xx4=64`

Sol.2) take log of both sides:
`3^m=81`
`mlog3=log81`
`=> m=log81/log3=4`
`=> m^3=4^3=4xx4xx4=64`