Intermediate Algebra: Connecting Concepts through Application

Published by Brooks Cole
ISBN 10: 0-53449-636-9
ISBN 13: 978-0-53449-636-4

Chapter 5 - Exponential Functions - 5.2 Solving Equations Using Exponent Rules - 5.2 Exercises: 55

Answer

$x = 4$

Work Step by Step

$10(2^{x}) - 7(2^{x}) = 48$ $(10 - 7)(2^{x}) = 48$ $3(2^{x}) = 48$ $2^{x} = 16$ $2^{x} = 2^{4}$ $x = 4$ Check: $ 10(2^{x}) - 7(2^{x})$ $= 10(2^{4}) - 7(2^{4})$ $= 10(16) - 7(16)$ $= 160 - 112$ $= 48$
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.