What is the answer to 6^{3x+2}=36^{x-6} ?

The answer to 6^{3x+2}=36^{x-6} is x=-14

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

6^{3x+2}=36^{x-6}

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

x = - 14

Solution steps

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

Apply exponent rules

3 x + 2 = 2 (x - 6)

Solve

3 x + 2 = 2 (x - 6) : x = - 14

x = - 14

2 (5^{x}) = 32

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

e^{2 x} - 12 e^{x} + 11 = 0

e^{x^{2}} = e^{3 x} \cdot \frac{1}{e ^{2}}

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

What is the answer to 6^{3x+2}=36^{x-6} ?
The answer to 6^{3x+2}=36^{x-6} is x=-14
Solve for x: 6^{3x+2}=36^{x-6}
The solution is x=-14