Calculus 10th Edition

Published by Brooks Cole
ISBN 10: 1-28505-709-0
ISBN 13: 978-1-28505-709-5

Chapter 5 - Logarithmic, Exponential, and Other Transcendental Functions - 5.5 Exercises - Page 362: 28



Work Step by Step

$3(5^{x-1})=86$ $(5^{x-1})=\frac{86}{3}$ $ln(5^{x-1})=ln(\frac{86}{3})$ $(x-1)(ln5)=ln86-ln3$ $xln5-ln5=ln86-ln3$ $x=\frac{ln86-ln3+ln5}{ln5}$ $\approx3.085035391$ $=3.085$
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