24-2x 42x+5 %3D

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Using Exponential Functions in Problem Solving**

To solve the equation using the properties of exponential functions (Theorem 2, p. 65):

\[ 2^{4 - 2x} = 4^{2x + 5} \]

In this problem, you are tasked with using the properties of exponential functions to find the value of \(x\). Utilize the relevant theorems and make sure to apply the concepts systematically for accurate results. Note that rewriting the bases or equating exponents may be necessary steps in your solution process.
Transcribed Image Text:**Using Exponential Functions in Problem Solving** To solve the equation using the properties of exponential functions (Theorem 2, p. 65): \[ 2^{4 - 2x} = 4^{2x + 5} \] In this problem, you are tasked with using the properties of exponential functions to find the value of \(x\). Utilize the relevant theorems and make sure to apply the concepts systematically for accurate results. Note that rewriting the bases or equating exponents may be necessary steps in your solution process.
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