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 = a(bx) is a straight line on semilogarithmic paper, since log y = log a + x log b is in the form of a straight line. The variables are log y and x, the slope is log b, and the intercept is a. (To get the slope from the graph, we calculate (log y − log a)/x for some set of values x and y. The intercept is read directly off the graph where x = 0.) Plot y = 3(2x) on semilogarithmic paper to verify this analysis.

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