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Expanding Logarithms - Concept 21,124 views

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!

Sometimes we use methods for expanding logarithms in complicated logarithmic terms. Expanding logarithms can be useful for obtaining more simplified terms. When expanding logarithms we use the rules of logarithms, including the power rule, the product rule and the quotient rule. Sometimes we use methods for expanding logarithms when evaluating logarithmic equations.

So there are number of different properties that we can use when we're dealing with logarithms okay? I've written most of them once we've talked about up here okay?
There's first and foremost the product rule which is basically if we are multiplying inside of our log we can split it up and write it as addition. Secondly there's the quotient rule which is if we're dividing inside of a log we can split it up and you do subtraction.
Power rule if we're taking a term to a power inside of a log we can bring that power down in front in extension of that is if we have the same base in about in a both our log and [IB] you can bring it down and cancel out to be just whatever is in the exponent.
And our last one is if our base is to a log of the same base those things cancel out just leaving us with whatever inside of our log.