Evaluate the logarithm. Round your answer to the nearest thousandth.
2\log_{6}(33)\approx2log
6

(33)≈2, log, start base, 6, end base, left parenthesis, 33, right parenthesis, approximately equals

beluga wheeeaaalle matt

step-by-step explanation:

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like:

"exterior angles = 360 / number of sides.

60 = 360 / sides

sides = 360 / 60

sides = 6"