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Math Help - need a little help again w/ natural logs

  1. #1
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    Oct 2008
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    need a little help again w/ natural logs

    I posted this yesterday and got a start on it, but I still cant figure it out. Anyway if anybody knows I'd appreciate the help!

    solve the equation ln(x^4)=(ln(x))^4

    my teach wants an exact answer which I suck at.

    Thank you!
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  2. #2
    Member
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    Oct 2008
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    ln(x^4) = 4ln(x)=(ln(x))^4

    ln(x)(ln(x)^3 -4)=0
    ln(x)=0 or (ln(x)^3-4)=0
    x=1 is a solution.
    ln(x)^3-4 = 0
    ln(x)^3=4
    ln(x)= 4^(1/3)
    x = e^(cbrt4)
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