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Math Help - ln and e?

  1. #1
    Member
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    Jun 2009
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    ln and e?

    I saw a final answer from a question: \ln x=1therefore x=ehow they will become like this?

    What is \ln and e? Is there any formula or rule for them?
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  2. #2
    MHF Contributor Calculus26's Avatar
    Joined
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    By definiton:

    ln(x) = y means e^y = x


    ln(x) = 1 then e^1 = x


    another way of looking at this is that ln(x) and e^x are inverses therefore

    e^(ln(x) = ln(e^x) = x

    so if ln(x) = 1

    e^(ln(x)) = e^1

    x = e
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