Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Skill Practice - Page 534: 25

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Apply the form $\ln y-y_1=m(\ln x-x_1)$ Choose the point: $(0,0.916),(0.693,1.308)$ Find the slope: $m=\frac{1.308-0.916}{0.69-0}\approx 0.57$ Plug in: $\ln y-(0.92)=0.57(\ln x-0)\\\ln y=0.57\ln x+0.92\\\ln y=\ln x^{0.57}+0.92\\y=e^{\ln x^{0.57}+0.92}\\y=e^{0.57}e^{\ln x^{0.92}}\\y=2.51x^{0.57}$