Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Skill Practice - Page 534: 23

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Apply the form $\ln y-y_1=m(\ln x-x_1)$ Choose the point: $(0,-0.511)$ Find the slope: $m=\frac{1.41-(-0.51)}{0.69-0}\approx2.78$ Plug in: $\ln y-(-0.51)=2.78(\ln x-0)\\\ln y=2.78\ln x-0.51\\\ln y=\ln x^{2.78}-0.51\\y=e^{\ln x^{2.78}-0.51}\\y=e^{-0.51}e^{\ln x^{2.78}}\\y=0.6x^{2.78}$