Question

How do you solve `8.2^(n-3)=42.5`?

Answer 1

`n=ln42.5/ln8.2 +3 ~~4.78`

Explanation:

`8.2^(n-3) = 42.5`

`ln 8.2^(n-3)=ln 42.5`

`(n-3) ln 8.2=ln 42.5`-Use the property `ln x^n=n* ln x`

`n-3= ln42.5/ln8.2`

`n=ln42.5/ln8.2 +3 ~~4.78`