Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Skill Practice - Page 534: 24

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Apply the form $\ln y-y_1=m(\ln x-x_1)$ Choose the point: $(0,0.41)$ Find the slope: $m=\frac{1.57-0.41}{0.69-0}\approx 1.68$ Plug in: $\ln y-(0.41)=1.68(\ln x-0)\\\ln y=1.68\ln x+0.41\\\ln y=\ln x^{1.68}+0.41\\y=e^{\ln x^{1.68}+0.41}\\y=e^{0.41}e^{\ln x^{1.68}}\\y=1.51x^{1.68}$