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Math Help - inverse function

  1. #1
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    Lightbulb inverse function

    12. Find the inverse function of g(x) = ln(x^3)
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  2. #2
    Junior Member Pinsky's Avatar
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    I'm not totally sure if this is the correct solution for solving this, but here it goes.

    y=\ln{x^3}
    Then change the variables
    x=ln{y^3}

    and after that you get y.

    e^x=y^3

    y=\sqrt[3]{x}

    Hope i didn't mix this with something else.
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  3. #3
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    mr fantastic's Avatar
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    Quote Originally Posted by Pinsky View Post
    I'm not totally sure if this is the correct solution for solving this, but here it goes.

    y=\ln{x^3}
    Then change the variables
    x=ln{y^3}

    and after that you get y.

    e^x=y^3

    y=\sqrt[3]{x} *

    Hope i didn't mix this with something else.
    All good 'til the line marked *

    Should be y=\sqrt[3]{e^x}

    = e^\frac{x}{3}
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  4. #4
    Junior Member Pinsky's Avatar
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    Right, typing error, tnx.

    Had an exam in line,surface and triple integrals..

    Still waiting for the results thou.
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