Problem

In Exercise, show that the given nonlinear functions are linear when plotted on semilogari...

In Exercise, show that the given nonlinear functions are linear when plotted on semilogarithmic or logarithmic paper.

A function of the form y = axn is straight when plotted on logarithmic paper, since log y = log a + n log x is in the form of a straight line. The variables are log y and log x; the slope can be found from (log y − log a)/log x = n, and the intercept is a. (To get the slope from the graph, it is necessary to measure vertical and horizontal distances between two points. The log y-intercept is found where log x = 0, and this occurs when x = 1.) Plot y = 3x4 on logarithmic paper to verify this analysis.

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