Question

How do you use the Change of Base Formula and a calculator to evaluate the logarithm `log_3 6`?

Answer 1

`log_3(6) = log(6)/log(3) ~~ 1.6309`

Explanation:

The change the base from a to b the general formula is:

`log_a(x) = log_b(x)/log_b(a)`

So in this case to convert form base 3 to a more calculator friendly

base like base 10 we proceed as follow:

`log_3(6) = log(6)/log(3) ~~ 1.6309`