Properties of Logarithms Notes There are three main properties, plus a bonus solving one: Product Property Quotient Property Power Property logomn = logb m + logb n = logo m - logb n logo logs m" = n log. m if more than one number in denom, make all negative Example 1: Expand the following: a. log3 b. log2 4x c. log7 5x2 e. log 3x6 f. In 7 73 d. In 5x Sometimes you will be asked to condense logarithms in order to rewrite them. Example 2: Condense the expression: j. In 7 - 2 In 4 i. logs 7 + 3 logs 2 h. 2 log 5 g. log3 6 - log3 5 Copyright 2019 by Ashley Lawrence. All rights reserved by author