Question

How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_6 11`?

Answer 1

`log_6(11) ~~ 1.3382`

Explanation:

Change of base formula: `log_b(N)= log_a(N)/log_a(b)`

`log_6(11)= log_10(11)/log_10(6)=log 11/log 6 ~~ 1.3382` OR

`log_6(11)= log_e(11)/log_e(6)=ln 11/ln 6 ~~ 1.3382` [Ans]