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Quotient Rule of Logarithms - Problem 4

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Teacher/Instructor Alissa Fong
Alissa Fong

MA, Stanford University
Teaching in the San Francisco Bay Area

Alissa is currently a teacher in the San Francisco Bay Area and Brightstorm users love her clear, concise explanations of tough concepts

The quotient rule can be used to either expand logs that have fractions as input or to condense multiple logs that have the same base. If you're expanding, don't forget to write the base in all of your resulting terms (unless, of course, it's an implied base 10.) Condensing can only be done if the logs have the same base. If there are multiple logs being subtracted, consider factoring out the first subtraction sign so you can see that you are subtracting a sum (that is, you'll have product in your final denominator.)

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