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Math Help - Solving for x using Logarithms

  1. #1
    Member rtblue's Avatar
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    Solving for x using Logarithms

    Hey guys, I was going over a study guide my teacher gave me for an upcoming test, and couldn't get one of the problems:

    Use common logarithms to solve for x in terms of y:

    \displaystyle y=\frac{10^x-10^{-x}}{2}

    Any help is appreciated. Thank You.
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  2. #2
    Forum Admin topsquark's Avatar
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    Let me start you off with one method. Let z = 10^x. Then your equation reads

    y = (1/2)*(z + [1/z])

    Can you solve this for z?

    -Dan
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  3. #3
    Member rtblue's Avatar
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    Thanks, I can take it from here.
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