Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 4 - Section 4.5 - Exponential and Logarithmic Functions - 4.5 Exercises - Page 369: 87

Answer

$x=1.5$

Work Step by Step

On the RHS, apply:$\qquad \log_{a}(AB)=\log_{a}A+\log_{a}B$ $\log(x+3)=\log x+\log 3$ $\log(x+3)=\log(x\cdot 3)\qquad$ ... apply $10^{(..)}$ to both sides $ x+3=3x\qquad$...$/-x$ $ 3=2x\qquad$...$/\div 2$ $x=\displaystyle \frac{3}{2}$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.