In 2009, the world's largest pumpkin weighed 1,725 kilograms. An average sized pumpkin weighs 5,000 grams. The 2009 world-record pumpkin weighs _ kilograms more than the average size pumpkin. (Write your answer as a numeral.)

whats the

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: