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Condensing Logarithms - Problem 4

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

In order to move toward solving equations using logs and exponential expressions, we must be able to condense multiple logs into one log. This is only possible if they have the same base. The quotient, product, and power rules of logs closely mirror the rules of exponents that you already know. Although they may seem counter-intuitive, proofs are not very difficult and are most likely available in your text. Practice condensing expressions, being careful of your use of parentheses particularly with the power rule, in order to solve equations later.

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