The log of a ratio is equivalent to the difference between the log of the numerator and the log of the denominator. Further, a log is the integral of the area under the hyperbola y=1/x between the denominator and numerator as the endpoints. Be casue of these two facts, we can multiply the endpoints by a common factor m to get a wider interval with the same area.
Example: the area under the curve between 2 and 3 is the same as the area between 4 and 6 or 10 and 15.
The area can be rationally estimated as a partial sum of the harmonic series. The module illustrates how the approximation converges as the multiplier m runs to infinity.
