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Math Help - Solving Logarithims

  1. #1
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    Unhappy Solving Logarithims

    I have two problems that I don't understand. Either they are written wrong on this worksheet or I am really that math dumb.
    I have looked online for some problems similar, and I am coming up empty handed.

    1. Solve for y in terms of x: ln y + .6931 = 9 ln x

    2. Slove equation: log (x+9)=1-log x

    Any help is greatly appreciated.
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  2. #2
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    Quote Originally Posted by SouthernDiva View Post
    I have two problems that I don't understand. Either they are written wrong on this worksheet or I am really that math dumb.
    I have looked online for some problems similar, and I am coming up empty handed.

    1. Solve for y in terms of x: ln y + .6931 = 9 ln x

    2. Slove equation: log (x+9)=1-log x

    Any help is greatly appreciated.
    1. 0.6931 \approx \ln(2)

    2. The first equation becomes:

    \ln(y)=9 \ln(x)-\ln(2)

    \ln(y)=\ln\left(\frac{x^9}2\right)

    Now use both sides as exponents to the base e:

    e^{\ln(y)}=e^{\ln\left(\frac{x^9}2\right)}

    y = \frac{x^9}2

    Do the 2nd equation in just the same way.
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