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Math Help - Write the following equations without logarithms:

  1. #1
    Newbie bickitrainer's Avatar
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    Write the following equations without logarithms:

    a) LogP = 2 + logx

    b) LogM = 1.477 - x

    Help!
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  2. #2
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    Quote Originally Posted by bickitrainer View Post
    a) LogP = 2 + logx

    b) LogM = 1x477 - x

    Help!
    Hey mate,

    for (a)
    log(P) = 2 + log(x)
    log(P) - log(x) = 2
    log(P/x) = 2 ( log(A/B) = log(A) - log(B) )
    P/x = 100 (10^n = b --> log(b) = n)
    x = 100/P

    Hope this helps,

    Davi
    Last edited by mr fantastic; November 22nd 2008 at 02:41 AM. Reason: bickitrainer double posted (a) when re-posting a correct version of (b). David24 answered the original post.
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  3. #3
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    Quote Originally Posted by bickitrainer View Post
    a) LogP = 2 + logx

    b) LogM = 1.477 - x

    Help!
    I assume that the base of the logarithms is 10. If so:

    \log(P)=2+\log(x)~\implies~10^{\log(P)}=10^{2+\log  (x)}~\implies~P=100\cdot x

    I assume that 1.477 = \log(30) . If so:

    \log(M)=1.477-x~\implies~10^{\log(M)}=10^{1.477-x}~\implies~ M=\dfrac{10^{1.477}}{10^x}\implies~ M=\dfrac{30}{10^x}
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