Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Problem Solving - Page 535: 34b

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Use the form: $\ln y-y_1=m(\ln x-x_1)$ Take two points: $(5.455,4.248);(6.633,4.605)$ Find the slope: $m=\frac{4.605-4.1248}{6.633-5.455}\approx0.303$ Obtain: $\ln y-4.248=0.303(\ln x-5.455)\\\ln y=0.303\ln x+2.595\\\ln y=\ln x^{0.303\ln x+2.595}\\y=e^{0.303\ln x}e^{2.595}\\y=13.397x^{0.303}$