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Math Help - Two Logarithm Problems

  1. #1
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    Two Logarithm Problems

    Please help me solve these two questions:

    1.) [LaTeX ERROR: Convert failed]

    2.) [LaTeX ERROR: Convert failed]

    Your assistance is greatly appreciated.
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  2. #2
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    Quote Originally Posted by currypuff View Post
    Please help me solve these two questions:

    1.) [LaTeX ERROR: Convert failed]

    2.) [LaTeX ERROR: Convert failed]

    Your assistance is greatly appreciated.
    1.)
    2~ln(x - 1) - 2~ln(x) = 0

    [tex]ln((x - 1)^2) - ln(x^2) = 0

    ln((x - 1)^2) = ln(x^2)

    (x - 1)^2 = x^2
    etc.

    2.)
    [LaTeX ERROR: Convert failed]

    Take the logarithm of both sides. Any base will do. I'll use base e.
    ln \left ( 6^{5x + 3} \right ) = ln \left ( 2^{x - 2} \right )

    (5x + 3)~ln(6) = (x - 2)~ln(2)
    etc.

    -Dan
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  3. #3
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    Thanks, Dan. I worked through the second problem and ended up with x = 0.483. However, I am still uncertain what the next steps are for the first problem. Do you know what the next steps are, after (x-1)^2=x^2? Thanks for your help
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