What is the answer to 5^{3x+2}=25^{x-8} ?

The answer to 5^{3x+2}=25^{x-8} is x=-18

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{3x+2}=25^{x-8}

5^{3 x + 2} = 2 5^{x - 8}

x = - 18

Solution steps

5^{3 x + 2} = 2 5^{x - 8}

Apply exponent rules

3 x + 2 = 2 (x - 8)

Solve

3 x + 2 = 2 (x - 8) : x = - 18

x = - 18

2 7^{2 x - 3} = 27

5^{- x} = 15

2 \times 3^{1 - x} + 3^{x - 1} = 3^{x}

9 x - 2 - 1 0^{x - 1} = 0

5^{4 x - 2} = 120

What is the answer to 5^{3x+2}=25^{x-8} ?
The answer to 5^{3x+2}=25^{x-8} is x=-18
Solve for x: 5^{3x+2}=25^{x-8}
The solution is x=-18