use systematic trial and error to evaluate log50.

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- April 21st 2009, 10:20 PMmath123456Approximating the value of a logarithm by trial and error
use systematic trial and error to evaluate log50.

- April 21st 2009, 10:40 PMCaptainBlack
By trial and error you have to find (approximatly) such that:

or dividing by :

start with , then , which is too small,

next try , then , which is too large

So for our next try we take , then which is too small

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

CB