What is the answer to 5^{x+1}+5^{x-1}=130 ?

The answer to 5^{x+1}+5^{x-1}=130 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

5^{x+1}+5^{x-1}=130

5^{x + 1} + 5^{x - 1} = 130

x = 2

Solution steps

5^{x + 1} + 5^{x - 1} = 130

Factor

5^{x + 1} + 5^{x - 1} : 26 \cdot 5^{x - 1}

26 \cdot 5^{x - 1} = 130

Divide both sides by

26

5^{x - 1} = 5

Apply exponent rules

x - 1 = 1

Solve

x - 1 = 1 : x = 2

x = 2

5^{2 x + 3} = 3^{x - 1}

e^{2 x} - e^{x} - 110 = 0

3 (3 e^{- x} x^{2} - e^{- x} x^{3}) = 0

3 2^{2 x + 4} = 1 6^{2 x + 4}

8 1^{2 x + 1} = 9^{5 x - 1}

What is the answer to 5^{x+1}+5^{x-1}=130 ?
The answer to 5^{x+1}+5^{x-1}=130 is x=2
Solve for x: 5^{x+1}+5^{x-1}=130
The solution is x=2