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Thread: Logarithmic Equation

  1. May 14th 2012, 05:22 PM #1
    iFuuZe
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    Logarithmic Equation

    hi guys i know very well on how to solve equtions like this but im a little confused with this one, im thinking the answear is just 1?


    (In(x))^2=In(x)^2
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  2. May 14th 2012, 05:53 PM #2
    Reckoner
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    Re: Logarithmic Equation

    Quote Originally Posted by iFuuZe View Post
    hi guys i know very well on how to solve equtions like this but im a little confused with this one, im thinking the answear is just 1?


    (In(x))^2=In(x)^2
    Is this the equation?

    (\ln x)^2=\ln(x^2)

    Using our properties of logarithms, we have

    (\ln x)^2=2\ln x

    (\ln x)^2-2\ln x=0

    (\ln x)(\ln x - 2) = 0
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  3. May 14th 2012, 05:55 PM #3
    howdigethere
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    Re: Logarithmic Equation

    is this helpful..?

    (\ln x)^2 = \ln (x^2) \rightarrow (\ln x)(\ln x) = \ln (x \cdot x)
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