What is the answer to 3*2^{x+2}-5*2^x=56 ?

The answer to 3*2^{x+2}-5*2^x=56 is x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

32^{x+2}-52^x=56

3 \cdot 2^{x + 2} - 5 \cdot 2^{x} = 56

x = 3

Solution steps

3 \cdot 2^{x + 2} - 5 \cdot 2^{x} = 56

Factor

3 \cdot 2^{x + 2} - 5 \cdot 2^{x} : 7 \cdot 2^{x}

7 \cdot 2^{x} = 56

Divide both sides by

7

2^{x} = 8

Apply exponent rules

x = 3

e^{x + 1} = 3

2 \cdot 1 0^{9 a} = 29

\frac{8 ^{m + 3}}{2 ^{2}} = 2^{4 m}

5^{9^{x}} = 12 5^{3^{x + 4}}

9^{x} + 3^{x + 1} = 4

What is the answer to 3*2^{x+2}-5*2^x=56 ?
The answer to 3*2^{x+2}-5*2^x=56 is x=3
Solve for x: 3*2^{x+2}-5*2^x=56
The solution is x=3