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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. 66 (page 284)

Solve the equation ${(\frac{1}{4})}^{x} = \frac{1}{64}$
and verify your results using a graphing utility.

Short Answer

Expert verified

Required solution set is {3}.

Step by step solution

Step 1. Given information

${(\frac{1}{4})}^{x} = \frac{1}{64}$

Step 2. Calculations

${(\frac{1}{4})}^{x} = \frac{1}{64} 4^{- x} = 4^{- 3} i f a^{u} = a^{v} t h e n u = v x = 3$

Step 3. Graphing solution

Graph $y = 4^{- x}$ and y =1/64 intersect at (3,0.015625)

Hence the required solution set is {3}.

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Solve the equation(14)x=164and verify your results using a graphing utility.

Short Answer

Step by step solution

Step 1. Given information

Step 2. Calculations

Step 3. Graphing solution

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Solve the equation ${(\frac{1}{4})}^{x} = \frac{1}{64}$
and verify your results using a graphing utility.