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Math Help - Easy logs

  1. #1
    Newbie Nick744's Avatar
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    Sep 2006
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    Easy logs

    Hey Guys,

    Just learnt basic logs yesterday to form a basis before we do harder logs.

    I'm doing my homework and one question asks write log e^2 to the base e in it's simplest form.

    Is the answer 2log e to the base e or does it simplify further?

    Kind regards,
    Nick
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  2. #2
    Senior Member
    Joined
    Apr 2006
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    Quote Originally Posted by Nick744 View Post
    Hey Guys,

    Just learnt basic logs yesterday to form a basis before we do harder logs.

    I'm doing my homework and one question asks write log e^2 to the base e in it's simplest form.

    Is the answer 2log e to the base e or does it simplify further?

    Kind regards,
    Nick
    First, you have to know the definition of ln(x) is log_(e) x (log base e of x)

    You have log_(e) e^2, which is ln(e^2) = 2

    Which is exactly what you have: 2*log_(e) e, since log_(e) e = ln(e) = 1
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  3. #3
    Newbie Nick744's Avatar
    Joined
    Sep 2006
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    Thanks very much Aftershock
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