Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Problem Solving - Page 535: 33a

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Draw the scatter plot of $(x, \ln y)$ Use the form: $\ln y-y_1=m(\ln x-x_1)$ Take two points: $(1,0);(2,0.693)$ Find the slope: $m=\frac{0.693-0}{2-1}\approx 0.693$ Obtain: $\ln y-0=0.693(\ln x-1)\\\ln y=0.693\ln x-0.693\\y=e^{0.693x-0.693}\\y=e^{-0.693}(e^{0.693})^x\\y=0.50007(e^{1.9997})^x$