What is the answer to 3^{4x+1}=9^{3x-5} ?

The answer to 3^{4x+1}=9^{3x-5} is x= 11/2

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

3^{4x+1}=9^{3x-5}

3^{4 x + 1} = 9^{3 x - 5}

x = \frac{11}{2}

Decimal Notation

x = 5.5

Solution steps

3^{4 x + 1} = 9^{3 x - 5}

Apply exponent rules

4 x + 1 = 2 (3 x - 5)

Solve

4 x + 1 = 2 (3 x - 5) : x = \frac{11}{2}

x = \frac{11}{2}

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

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

10 0^{2 x - 2} = 1 0^{3 x}

3^{2 x - 3} = 9^{x - 1}

e^{x} = x + 1

What is the answer to 3^{4x+1}=9^{3x-5} ?
The answer to 3^{4x+1}=9^{3x-5} is x= 11/2
Solve for x: 3^{4x+1}=9^{3x-5}
The solution is x= 11/2