A cone with a height of 25 centimeters has a volume of 16,875 cubic centimeters. What is the radius, in centimeters, of the cone?

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:

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