![]() ![]() If your x value is greater than the mean, replace the lower limit for x with the mean and the lower limit for the antilog with the geometric mean. Calculate the mean of the first two columns and the square root of the product of the third and forth columns (also known as the geometric mean). The following method is from the pre-calculus method for calculating logarithms, based on the bisection algorithm: create a table with four columns: x(lower limit), x(upper limit), antilog(lower limit), antilog(upper limit). The fractional part is where you will have the fun. The integer part is just the power of ten, so write that down immediately. Look at the number whose antilog you need. ![]() For some methods you will need all these digits, for other methods, you only need the first two digits, but they repeat, so just retain in your head 0.4343. I advise to memorize the logarithm of e, 0.4342944819. Assuming, as you say, that your calculator does not have the 10^x function, the approach depends on how much accuracy you need. ![]()
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