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Math Help - Log equation

  1. #1
    Member GAdams's Avatar
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    Log equation

    Hello

    ln ( (e^x+1) / (x^3 + x^2) ) needs to be verified

    So here's what I got:

    = ln ( (e^x+1) / (x^3 + x^2) )

    = ln (e^x+1) - ln (x^3 + x^2)

    = (x+1) ln e - ln ((x^2(x+1))

    -can't get past this point.
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  2. #2
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by GAdams View Post
    Hello

    ln ( (e^x+1) / (x^3 + x^2) ) needs to be verified

    So here's what I got:

    = ln ( (e^x+1) / (x^3 + x^2) )

    = ln (e^x+1) - ln (x^3 + x^2)

    = (x+1) ln e - ln ((x^2(x+1))

    -can't get past this point.
    What do you mean by "verified?"

    We can go a few more steps:
    = (x+1) ln(e) - ln (x^2(x+1))

    = (x+1) ln(e) - ln (x^2) - ln(x+1)

    = (x+1) ln(e) - 2ln (x) - ln(x+1)

    and since ln(e) = 1,

    = (x+1) - 2ln (x) - ln(x+1)

    -Dan
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  3. #3
    Member GAdams's Avatar
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    I guess verify here means show that it is the same as?
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  4. #4
    Forum Admin topsquark's Avatar
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    Quote Originally Posted by GAdams View Post
    ln ( (e^x+1) / (x^3 + x^2) ) needs to be verified
    Quote Originally Posted by GAdams View Post
    I guess verify here means show that it is the same as?
    Show it is the same as what? I suspect the problem is asking you to simplify the expression. Something is very wrong in the terminology or there is something more to this question.

    -Dan
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