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Math Help - log equation

  1. #1
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    log equation

    2^x3=3^x^2
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  2. #2
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    Quote Originally Posted by alessandromangione View Post
    2^x3=3^x^2
    This is near impossible to read.

    Is it 2^{x^3} = 3^{x^2}?
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  3. #3
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    yeap...sorry...
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    2^{x^3} = 3^{x^2}

    \ln{\left(2^{x^3}\right)} = \ln{\left(3^{x^2}\right)}

    x^3\ln{2} = x^2\ln{3}

    \frac{x^3}{x^2} = \frac{\ln{3}}{\ln{2}}

    x = \frac{\ln{3}}{\ln{2}}.
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  5. #5
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    Hello everyone

    Don't forget that there's another solution to the equation
    x^3\ln2 =x^2\ln3 besides x=\frac{\ln3}{\ln2}, and that is
    x=0
    Grandad
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