What is the answer to 2^{x+5}=2^{x+3}+6 ?

The answer to 2^{x+5}=2^{x+3}+6 is x=-2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{x+5}=2^{x+3}+6

2^{x + 5} = 2^{x + 3} + 6

x = - 2

Solution steps

2^{x + 5} = 2^{x + 3} + 6

Subtract

2^{x + 3}

from both sides

2^{x + 5} - 2^{x + 3} = 2^{x + 3} + 6 - 2^{x + 3}

Simplify

2^{x + 5} - 2^{x + 3} = 6

Factor

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

3 \cdot 2^{x + 3} = 6

Divide both sides by

3

2^{x + 3} = 2

Apply exponent rules

x + 3 = 1

Solve

x + 3 = 1 : x = - 2

x = - 2

1 0^{8} = 1 0^{w}

m, 2^{m} + 2^{n} = 2^{m} + n

7^{x - 3} \cdot 2^{2 x - 3} = 224

2^{3} = 3^{x}

(\frac{1}{6})^{x} - 13 = 64

What is the answer to 2^{x+5}=2^{x+3}+6 ?
The answer to 2^{x+5}=2^{x+3}+6 is x=-2
Solve for x: 2^{x+5}=2^{x+3}+6
The solution is x=-2