Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Problem Solving - Page 535: 32

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Draw the scatter plot of $(\ln x, \ln y)$ Use the form: $\ln y-y_1=m(\ln x-x_1)$ Take two points: $(0,0);(0.421,0.632)$ Find the slope: $m=\frac{0.632-0}{0.421-0}\approx1.501$ Obtain: $\ln y-0=1.501(\ln x-0)\\\ln y=1.501\ln x\\\ln y=\ln x^{1.501}\\y=e^{\ln x^{1.501}}\\y=x^{1.501}$