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Math Help - Approximating the value of a logarithm by trial and error

  1. #1
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    Exclamation Approximating the value of a logarithm by trial and error

    use systematic trial and error to evaluate log50.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by math123456 View Post
    use systematic trial and error to evaluate log50.
    By trial and error you have to find x (approximatly) such that:

    10^x=50

    or dividing by 10:

    10^{x-1}=5

    start with x=1, then 10^{x-1}=1, which is too small,

    next try x=2, then 10^{x-1}=10, which is too large

    So for our next try we take x=1.5, then 10^{x-1}=\sqrt{10}\approx 3.16 which is too small

    Now we know that the required x is between 1.5 and 2, so for our next trial we use x=1.75 and carry on as above refining the interval containing the required solution.

    CB
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