Question

How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_5 3`?

Answer 1

I found: `log_5(3)=0.6826`

Explanation:

Using the change of base formula and choosing the natural log (`log_e=ln`) (that can be evaluated using a pocket calculator) you get:
`log_5(3)=ln(3)/(ln(5))=0.6826`

Remember that the change of base works as:
`log_a(b)=log_c(b)/(log_c(a)` where in our case `c=e`