Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 7 Exponential and Logarithmic Functions - 7.7 Write and Apply Exponential and Power Functions - 7.7 Exercises - Skill Practice - Page 534: 26


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Work Step by Step

Apply the form $\ln y-y_1=m(\ln x-x_1)$ Choose the point: $(0,-0.21),(0.693,-0.01)$ Find the slope: $m=\frac{-0.01-(-0.21)}{0.69-0}\approx 0.29$ Plug in: $\ln y-(-0.21)=0.29(\ln x-0)\\\ln y=0.29\ln x-0.21\\\ln y=\ln x^{0.29}-0.21\\y=e^{\ln x^{0.29}-0.21}\\y=e^{-0.21}e^{\ln x^{0.29}}\\y=0.81x^{0.29}$
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