Question

How do you use the Change of Base Formula and a calculator to evaluate `log_sqrt{5} (8)`?

Answer 1

I found: `log_(sqrt(5))(8)=(ln(8))/(ln(sqrt(5)))=2.584`

Explanation:

Your calculator can evaluate, for example, natural logarithms, indicated as `ln`.
So you can change your log into this form by doing this:
`log_(sqrt(5))(8)=(ln(8))/(ln(sqrt(5)))=2.584`

Remembering the Change of Base Formula :
`log_a(x)=log_b(x)/log_b(a)`