Question

How do you express `log_5 8` in terms of common logs?

Answer 1

I tried to change base:

Explanation:

We can change base using the formula:
`log_ax=(log_bx)/(log_ba)`
Where `b` is the new base. We can chose a new base such as `10` that can be easily evaluated using a normal pocket calculator.
We get:

`(log_(10)8)/(log_(10)5)=1.292`