Select your language

Suggested languages for you:

Deutsch (DE)

Deutsch (UK)

Deutsch (US)

Americas

English (US)

Europe

Q. 101

Expert-verified

Found in: Page 1019

Book edition OER 2017

Author(s) OPENSTAX

Pages 1346 pages

ISBN 9780998625720

Answers without the blur.

Just sign up for free and you're in.

Short Answer

In the following exercises, solve each equation.
$4^{x + 2} = 64$

The answer is $x = 1$

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step 1. Given

The equation is $4^{x + 2} = 64$

Step 2. Solve the equation

$4^{x + 2} = 64 4^{x + 2} = 4^{3}$

Bases are same so the exponents should be equal.

$x + 2 = 3 x = 3 - 2 x = 1$

Step 3. Check the answer

Put $x = 1$ in given equation,

$4^{x + 2} = 64 4^{1 + 2} = 64 4^{3} = 64 64 = 64$

True

Recommended explanations on Math Textbooks

94% of StudySmarter users get better grades.

Find Study Materials for

Create Study Materials

Select your language

Intermediate Algebra

Answers without the blur.

Short Answer

In the following exercises, solve each equation.
$4^{x + 2} = 64$

Step by Step Solution

Step 1. Given

Step 2. Solve the equation

Step 3. Check the answer

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Select your language

Intermediate Algebra

Answers without the blur.

Short Answer

In the following exercises, solve each equation.4x+2=64

Step by Step Solution

Step 1. Given

Step 2. Solve the equation

Step 3. Check the answer

Most popular questions for Math Textbooks

Want to see more solutions like these?

Recommended explanations on Math Textbooks

Decision Maths

Probability and Statistics

Statistics

Mechanics Maths

Geometry

Calculus

Pure Maths

In the following exercises, solve each equation.
$4^{x + 2} = 64$