What is the answer to 6^{x+1}-18(6^{x-1})=108 ?

The answer to 6^{x+1}-18(6^{x-1})=108 is x=2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6^{x+1}-18(6^{x-1})=108

6^{x + 1} - 18 (6^{x - 1}) = 108

x = 2

Solution steps

6^{x + 1} - 18 (6^{x - 1}) = 108

Factor

6^{x + 1} - 18 \cdot 6^{x - 1} : 2^{x} \cdot 3^{x + 1}

2^{x} \cdot 3^{x + 1} = 108

Apply exponent rules

x = 2

x^{x} = 2^{1 0^{6}}

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

x, (x y)^{x} = e

2^{2 x + 4} = 3^{x - 24}

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

What is the answer to 6^{x+1}-18(6^{x-1})=108 ?
The answer to 6^{x+1}-18(6^{x-1})=108 is x=2
Solve for x: 6^{x+1}-18(6^{x-1})=108
The solution is x=2