Calculus, 10th Edition (Anton)

Published by Wiley
ISBN 10: 0-47064-772-8
ISBN 13: 978-0-47064-772-1

Chapter 6 - Exponential, Logarithmic, And Inverse Trigonometric Functions - 6.1 Exponential And Logarithmic Functions - Exercises Set 6.1: 16

Answer

$x=999$

Work Step by Step

Adding a base of $10$ to each side leaves $10^{\log(1+x)}=10^{3}$, which is equal to $1+x=1000$. Solving for $x$ yields $x=999$.
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