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Math Help - Simplifying exponents

  1. #1
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    Simplifying exponents

    Is this legal? e^(xc)=6 --> (e^(c))^x = 6

    I need to find a number C such that e^(xc)=6.

    Thanks,
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  2. #2
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    Re: Simplifying exponents

    You have 1+e^c+e^{2c}+e^{3c}+\dots = 6

    Using the sum of an infinite geometric series S_{\infty} = \frac{a}{1-r}

    Now simplify the LHS, you can then solve for c
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  3. #3
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    Re: Simplifying exponents

    Thanks, i'm kinda stuck with trying to solve the problem still..

    I know this: r = e^c and a = 1.

    so

    6 = 1/1-e^c --> 6 = (1-e^c)^-1 is that on the right track?
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  4. #4
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    Re: Simplifying exponents

    Yep, now just solve for c.
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