What is the answer to 2^{x^2}=4^{9/2 x-9} ?

The answer to 2^{x^2}=4^{9/2 x-9} is x=6,x=3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

2^{x^2}=4^{9/2 x-9}

2^{x^{2}} = 4^{\frac{9}{2} x - 9}

x = 6, x = 3

Solution steps

2^{x^{2}} = 4^{\frac{9}{2} x - 9}

Apply exponent rules

x^{2} = 2 (\frac{9}{2} x - 9)

Solve

x^{2} = 2 (\frac{9}{2} x - 9) : x = 6, x = 3

x = 6, x = 3

1 7^{- 2 x} = 6^{- x - 2}

2 5^{\frac{1}{2} + 2 x} = 5

7^{x^{2} - 5 x + 6} = 1

5^{x^{2} - 7 x + 9} = \frac{1}{125}

(\frac{1}{2})^{x^{2 - 3}} = 4

What is the answer to 2^{x^2}=4^{9/2 x-9} ?
The answer to 2^{x^2}=4^{9/2 x-9} is x=6,x=3
Solve for x: 2^{x^2}=4^{9/2 x-9}
The solution is x=6,x=3