Answer
$$2.32$$
Work Step by Step
Using the rules of logarithms, we find:
$$\ln \left(3^{4\log _{10}\left(x\right)}\right)=\ln \left(5\right) \\ 4\log _{10}\left(x\right)\ln \left(3\right)=\ln \left(5\right) \\ x=2.32$$
Functions Modeling Change: A Preparation for Calculus, 5th Edition
by Connally, Eric; Hughes-Hallett, Deborah; Gleason, Andrew M.; Cheifetz, Phil C.
Published by
Wiley
ISBN 10:
1118583191
ISBN 13:
978-1-11858-319-7
Chapter 5 - Logarithmic Functions - Review Exercises and Problems for Chapter Five - Page 226: 17
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