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Condensing Logarithms - Concept

Teacher/Instructor Carl Horowitz
Carl Horowitz

University of Michigan
Runs his own tutoring company

Carl taught upper-level math in several schools and currently runs his own tutoring company. He bets that no one can beat his love for intensive outdoor activities!

When evaluating logarithmic equations, we can use methods for condensing logarithms in order to rewrite multiple logarithmic terms into one. Condensing logarithms can be a useful tool for the simplification of logarithmic terms. When condensing logarithms we use the rules of logarithms, including the product rule, the quotient rule and the power rule.

So by now you've learned a lot of different properties about logarithms. You've learned the product rule, the quotient rule and the power rule and the couple other guys to help you dealing with logarithms. And what we're going to do now is talk about how we can condense logarithm so what I mean by condense is taking multiple logarithms and throw them together to make a single logarithm, so most of the time when you've talked about these equations, you take a logarithm of a more complicated thing and break it up into a sum or a difference of multiple logs, so what we're going to do now is use the same properties but go the other way so we're going to take multiple logarithms and put with them back together to make one.

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