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Quotient Rule of Logarithms  Problem 4
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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Alissa Fong
M.A. in Secondary Mathematics, Stanford University
B.S., Stanford University
Alissa has a quirky sense of humor and a relatable personality that make it easy for students to pay attention and understand the material. She has all the math tips and tricks students are looking for.
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Sample Problems (4)
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Quotient Rule of Logarithms
Problem 1 6,302 viewsSimplify:
log_{7}(49⁄3) 
Quotient Rule of Logarithms
Problem 2 5,539 viewsSimplify:
log_{5}x − log_{5}(x + 3) 
Quotient Rule of Logarithms
Problem 3 5,402 viewslog_{b}(x⁄y) = log_{b}x − log_{b}y
Let m = log_{b}x and n = log_{b}y 
Quotient Rule of Logarithms
Problem 4 1,626 views
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