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

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Answer 1 · 2015-09-13T17:16:27

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

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:

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

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