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Math Help - Logarithm help

  1. #1
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    Logarithm help

    I don't understand how you can get -2 out of log base 2 1/4 ?
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  2. #2
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    \log_2 \frac{1}{4} = \log_2 \frac{1}{2^2} = \log_2 2^{-2}= -2 \times \log_2 2 = -2 \times 1
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  4. #4
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    Here's another way:

    \log_2 \frac{1}{4}=x is equivalent to 2^x=\frac{1}{4}=2^{-2}.

    So x=-2.
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