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

1 Answer
Sep 13, 2015

Answer:

#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#