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Precalculus Enhanced with Graphing Utilities

Sullivan

$Math Studyset 91影视 Explanations$ Math

6th Edition 路 1200 pages

ISBN: 9780321795465

Chapter 5: Q. 75 (page 284)

solve each equation. Verify your results using a graphing utility.
$4^{x} 2^{x^{2}} = 16^{2}$

Short Answer

Expert verified

The value of x for which the above equation is valid are :

$- 4, 2$

Step by step solution

01

Step 1. Given equation

$4^{x} 2^{x^{2}} = 16^{2}$

02

Step 2. Solving exponentially

$4^{x} 2^{x^{2}} = 16^{2} 2^{2 x} . 2^{x^{2}} = 2^{8} 2^{x^{2 + 2 x}} = 2^{8} 鈬� x^{2} + 2 x = 8 x^{2} + 2 x - 8 = 0 鈬� x = - 4, 2$

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Most popular questions from this chapter

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and verify your results using a graphing utility

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