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Math Help - Logarithm help

  1. #1
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    Logarithm help

    Need help in verifying answer for logarithm prob. log9 3 log9 243 =
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  2. #2
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    Hello, eebjr!

    Simplify: . \log_9(3) - \log_9(243)

    We have: . \log_9\left(\frac{3}{243}\right) \;=\;\log_9\left(\frac{1}{81}\right) \;=\;\log_9\left(\frac{1}{9^2}\right) \;=\;\log_9\left(9^{-2}\right) \;=\;-2\underbrace{\log_9(9)}_{\text{This is 1}} \;=\;-2

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