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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