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Math Help - natural logs

  1. #1
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    natural logs

    Hello all, i have a question that i don't understand and i would like some help with.

    The first part of the question is this, (which i can do)

    If lnx = 3.5, find the value of x

    If lnx = 4.9, find the value of x

    If lnx = 123, find the value of x

    If lnx = 256, find the value of x

    I did these like this for example, e^3.5 = x
    x = e^3.5 = 33.12 ...

    The second part of the question which i need help with is: For each of the values found, calculate e^x and comment on your findings.

    After calculating all the values i can't find any relationships between the numbers, any ideas?
    Thank you
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: natural logs

    The only comment I can come up with is that these are really, really big numbers!
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  3. #3
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    Re: natural logs

    You sat that you can calculate e^3.5= 33.12, why could you not find e^{4.9}= 134.29, e^{123}=2.62 \times 10^{53}, and e^{256}= 1.511\times 10^{111}
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  4. #4
    MHF Contributor ebaines's Avatar
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    Re: natural logs

    Quote Originally Posted by HallsofIvy View Post
    You sat that you can calculate e^3.5= 33.12, why could you not find e^{4.9}= 134.29, e^{123}=2.62 \times 10^{53}, and e^{256}= 1.511\times 10^{111}
    I think the OP did exactly that. The question is to comment on the calculation of e raised to those results: e^{(e^{3.5})}, e^{(e^{4.9})}, etc.
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