College Algebra (10th Edition)

Published by Pearson

Chapter 6 - Section 6.6 - Logarithmic and Exponential Equations - 6.6 Assess Your Understanding - Page 467: 107

See below.

Work Step by Step

a) Our equation is: $9000=18700\cdot0.84^t\\\frac{9000}{18700}=0.84^t\\t=\log_{0.84}{\frac{9000}{18700}}\approx4.19$ b) Our equation is: $6000=18700\cdot0.84^t\\\frac{6000}{18700}=0.84^t\\t=\log_{0.84}{\frac{6000}{18700}}\approx6.52$ c) Our equation is: $2000=18700\cdot0.84^t\\\frac{2000}{18700}=0.84^t\\t=\log_{0.84}{\frac{2000}{18700}}\approx12.82$

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