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Math Help - simple Log question

  1. #1
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    simple Log question

    ..
    Last edited by Xcel; February 12th 2008 at 01:08 PM.
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  2. #2
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    Quote Originally Posted by Xcel View Post
    Ok I have to simplify this:

    4 LOGb4 (4root X)
    ...

    If it was 1/4 it would just be LOGb4 (x), right? right
    Can someone tell me what how to simplify properly.
    You are supposed to know that

    \sqrt[4]{x} = x^{\frac14} ...... and ...... \log(a^b) = b \log(a)

    4 \cdot \log_4(\sqrt[4]{x}) = 4 \cdot \log_4(x^{\frac14}) = 4 \cdot \frac14 \cdot \log_4(x) = \log_4 (x)
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