Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

Published by Pearson
ISBN 10: 0-32193-104-1
ISBN 13: 978-0-32193-104-7

Chapter 4 - Exponential and Logarithmic Functions - Chapter Review - Review Exercises - Page 371: 47

Answer

a) $\approx 37.3 \ watts$ b) $\approx 6.93 \ decibels$

Work Step by Step

a) We have the formula: $P=25(e)^{(0.1)d}$ Plug in $d=4$ to obtain: $P=25(e)^{(0.1)(4)} \approx 37.3 \ watts$ b) We have the formula: $P=25(e)^{0.1d}$ Plug in $P=50$ to obatin: $50=25(e)^{0.1 d } \\ 2=(e)^{0.1 d}\\\ln{2}=0.1 d \\d=10\ln{2} \approx 6.93 \ decibels$
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