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

Question

1565 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-05-03T09:20:05

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

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.

How do you solve 3.1^ (a-3) =9.423.1^ (a-3) =9.42?