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Thread: Log Simplification

  1. #1
    hrm
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    Log Simplification

    ok I hate logs so how would I simplify: z= 3- 3 log(x+y)

    thank you
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  2. #2
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    Re: Log Simplification

    Quote Originally Posted by hrm View Post
    ok I hate logs so how would I simplify: z= 3- 3 log(x+y)
    one "simplifies" an expression or "solves" an equation.

    you've posted an equation ... what are you solving for?
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    Re: Log Simplification

    $z=3 \big(1-\log (x+y)\big)=3\log\left( \dfrac{e}{x+y}\right) $

    Which one do you think is "simpler"?
    Last edited by SlipEternal; Sep 16th 2017 at 07:14 AM.
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  4. #4
    hrm
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    Re: Log Simplification

    solving for z
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  5. #5
    hrm
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    Re: Log Simplification

    sorry guys I posted the question wrong!

    log z = 3 - 3log(x+y)
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  6. #6
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    Re: Log Simplification

    $z=\left(\dfrac{e}{x+y}\right)^3$
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  7. #7
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    Re: Log Simplification

    Quote Originally Posted by hrm View Post
    sorry guys I posted the question wrong!

    log z = 3 - 3log(x+y)
    $z = e^{3-3\log(x+y)} = \dfrac{e^3}{e^{\log(x+y)^3}} = \left(\dfrac{e}{x+y}\right)^3$
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  8. #8
    hrm
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    Re: Log Simplification

    thank you so much!
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