expanding and condensing logs math lib answer key


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Expanding and Condensing Logarithms Condense each expression to a single logarithm 1) 3log 9 2 − 2log 9 5 log 9 23 52 2) log 6 x + log 6 y + 6log

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Condense each expression to one logarithm 7) log 9-log log₁ (2 6 9) log 3 Expand each logarithm 1) log (bn) 11 log b² + log R Sloq b + log n 3 

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  • The "expanded form" of a logarithm is the form in which each log contains no multiplication or powers; at most, a log might contain a sum of terms.
    For example, logb(xy3), in expanded form, is logb(x) + 3logb(y).

  • How do you expand logarithms terms?

    When you are asked to expand log expressions, your goal is to express a single logarithmic expression into many individual parts or components.
    This process is the exact opposite of condensing logarithms because you compress a bunch of log expressions into a simpler one.

  • How do you solve log additions?

    Logs of the same base can be added together by multiplying their arguments: log(xy) = log(x) + log(y).
    They can be subtracted by dividing the arguments: log(x/y) = log(x) - log(y).

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