Question

Using the change of base formula, evaluate log312 (round to the nearest hundredth).


2.26

0.48

4

1.08

Answer 1

well change of base is simply changing to a base 10 or base e log

\[\log_{a}(b) = \frac{\ln(b)}{\ln(a)}\]

then evaluating

in your question a = 3 and b = 12

just substitute and evaluate...

Answer 2

Thank you.