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Math Help - Exponential & Logarithmic Equations

  1. #1
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    Exponential & Logarithmic Equations

    log base (2) (x) +long base(2) (3) = log base(2) (18)
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  2. #2
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    Re: Exponential & Logarithmic Equations

    Quote Originally Posted by paigesisco View Post
    log base (2) (x) +long base(2) (3) = log base(2) (18)
    What can you do with \log_2(x)=\log_2(18)-\log_2(3)~?
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  3. #3
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    Re: Exponential & Logarithmic Equations

    You can use the rules for calculating with logarithms. In general

    \log_a x + \log_a y = \log_a (xy)

    and

    \log_a x - \log_a y = \log_a \left(\frac{x}{y}\right).

    For your problem

    \log_2 x - \log_2 18 + \log_2 3 = 0

    transforms to

    \log_2\left(\frac{3x}{18}\right) = 0

    or

    \frac{3x}{18} = 1
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