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Math Help - Express log in Terms of x and y

  1. #1
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    Express log in Terms of x and y

    If log 3 = x and log 4 = y, express log(2/3) in terms of x and y.
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  2. #2
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    Quote Originally Posted by magentarita View Post
    If log 3 = x and log 4 = y, express log(2/3) in terms of x and y.
    y = log(4) = log(2^2) = 2 log(2)

    log(2/3) = log(2) - log(3) = y/2 - x
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  3. #3
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    where...

    Quote Originally Posted by running-gag View Post
    y = log(4) = log(2^2) = 2 log(2)

    log(2/3) = log(2) - log(3) = y/2 - x
    I see that log 4 became 2 log(2) but where did you place the exponent 2 after bringing it down in front of
    log(2)?
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  4. #4
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    Talking

    Quote Originally Posted by magentarita View Post
    I see that log 4 became 2 log(2) but where did you place the exponent 2 after bringing it down in front of
    log(2)?
    If 2log(2) = y, then log(x) = y/2.
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