Question

How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_8 77`?

Answer 1

`log_8 77 approx 2.08893`

Explanation:

`log_a b = ln b/ln a`

`:. log_8 77 = ln 77/ln 8`

`approx 4.34381/2.079442`

`approx 2.08893`

Check: `8^2.08893 approx 77.00`