Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.4 - Laws of Logarithms - 4.4 exercises - Page 359: 73

Answer

a. $P = \frac{c}{W^k}$ b. 1866; 64 people

Work Step by Step

Given the equation $\log P = \log c - k \log W$ a. Solve for P. $\log P = \log c - \log W^k$ $\log P = \log (\frac{c}{W^k})$ $P = \frac{c}{W^k}$ b. Given k = 2.1, c = 8000 i. w = 2 (in millions), $P = \frac{8000}{2^{2.1}} = 1866$ people having over 2 million ii. w = 10 (in millions) $P = \frac{8000}{10^{2.1}} = 64$ people having over 10 million
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