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Thread: converting into differnce of logarithms.

  1. #1
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    converting into differnce of logarithms.

    ln((x+6)(x-8))/(x-7)^2)^5/3 , x > 8
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  2. #2
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    Re: converting into differnce of logarithms.

    You have too many closing parentheses.
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  3. #3
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    Re: converting into differnce of logarithms.

    As emakarov said, the problem has unmatched parentheses- it is impossible to tell if the entire logarithm is to the 5/3 power, or just the argument of the logarithm, or just the denominator.

    But to answer your question generally, log(A/B)= log(A)- log(B). It is also true that log(AB)= log(A)+ log(B) and that log(A^n)= nlog(A). You may need to use those.
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    Re: converting into differnce of logarithms.

    I noticed that, :/, I don't know how to enter formulas to where they actually look like they are written.
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    Re: converting into differnce of logarithms.

    its suppose to be, ln( ((x+6)(x-8))/(x-7)^2)^5/3 , x > 8
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  6. #6
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    Re: converting into differnce of logarithms.

    Quote Originally Posted by blondedude092 View Post
    its suppose to be, ln( ((x+6)(x-8))/(x-7)^2)^5/3 , x > 8
    \frac{5}{3}\ln\left[\frac{(x+6)(x-8)}{(x-7)^2}\right]

    \frac{5}{3}\left[\ln(x+6) + \ln(x-8) - 2\ln(x-7)\right]
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