Answer
$3.085$
Work Step by Step
$3(5^{x-1})=86$
$(5^{x-1})=\frac{86}{3}$
$ln(5^{x-1})=ln(\frac{86}{3})$
$(x-1)(ln5)=ln86-ln3$
$xln5-ln5=ln86-ln3$
$x=\frac{ln86-ln3+ln5}{ln5}$
$\approx3.085035391$
$=3.085$
Calculus 10th Edition
by Larson, Ron; Edwards, Bruce H.
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
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