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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