Question

How do you solve `3.1^ (a-3) =9.42`?

Answer 1

`a=3+log 9.42/log 3.1=4.982`, nearly.

Explanation:

Use #log m^n=n log m.

Equating logarithms,

`(a-3)log 3.1=log 9.42`

Solving for a,

`a=3+log 9.42/log 3.1=4.982`, nearly.