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Math Help - PLS HELP...Exponents and Logs

  1. #1
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    PLS HELP...Exponents and Logs

    The Richter magnitude, R, of an earthquarge is given by,
    R=0.67log(0.37E)+1.46
    where E is the energy in kW X h released by the earthquake.

    Show that E=2.7 X 10 ^(R-1.46)/0.67
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  2. #2
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    Quote Originally Posted by mathhtam View Post
    The Richter magnitude, R, of an earthquarge is given by,
    R=0.67log(0.37E)+1.46
    where E is the energy in kW X h released by the earthquake.

    Show that E=2.7 X 10 ^(R-1.46)/0.67
    You have:

    R=0.67 \log_{10}(0.37 E)+1.46

    so rearrange so that the \log_{10} is on one side and everything else on the other:

    \log_{10} (0.37 E)=\frac{R-1.46}{0.67}

    By definition if \log_{10}(a)=b then a=10^b, so:

     <br />
0.37 E=10^{\frac{R-1.46}{0.67}}<br />

    and you should be able to finish it yourself from there.

    CB
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