How to expand and condense logs

algebra-2-expanding-and-condensing-logarithms.pdf

The key to successfully expanding logarithms is to carefully apply the rules of logarithms. Take time to go over the rules and understand what they are trying to “say”. For instance, Rule 1 is

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Expanding and Condensing Logarithms

= log 2 (x 3) − log 2 ((x + 3) 4) + log 2 (y) Then I'll put the added terms together, moving the one minus term to the end of the string: log 2 ( x 3 ) − log 2 (( x + 3) 4 ) + log 2 ( y )