What is the answer to 2^{x+1}+2^{x-2}= 9/2 ?

The answer to 2^{x+1}+2^{x-2}= 9/2 is x=1

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{x+1}+2^{x-2}= 9/2

2^{x + 1} + 2^{x - 2} = \frac{9}{2}

x = 1

Solution steps

2^{x + 1} + 2^{x - 2} = \frac{9}{2}

Factor

2^{x + 1} + 2^{x - 2} : 9 \cdot 2^{x - 2}

9 \cdot 2^{x - 2} = \frac{9}{2}

Divide both sides by

9

2^{x - 2} = \frac{1}{2}

Apply exponent rules

x - 2 = - 1

Solve

x - 2 = - 1 : x = 1

x = 1

2^{x + 3} - 2^{x} = 112

x \times 2^{x - 1} = 32

3^{x + 1} + 3^{x} + 3^{x + 1} = 39

3^{\frac{x}{3}} = 99

5^{x} = 44

What is the answer to 2^{x+1}+2^{x-2}= 9/2 ?
The answer to 2^{x+1}+2^{x-2}= 9/2 is x=1
Solve for x: 2^{x+1}+2^{x-2}= 9/2
The solution is x=1