Question

How do you solve `5*6^(3m)=20`?

Answer 1

`m=0.2579`

Explanation:

`5*6^(3m)=20`
`=> 6^(3m)=20/5=4`
take log of both sides:
`log6^(3m)=log4`
`=> 3mlog6=log4`
`=> 3m=log4/log6=0.7737`
`=> m=0.7737/3=0.2579`