What is the answer to (sqrt(x))^x=(x)^{sqrt(x)} ?

The answer to (sqrt(x))^x=(x)^{sqrt(x)} is x=1,x=4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(sqrt(x))^x=(x)^{sqrt(x)}

(x)^{x} = (x)^{x}

x = 1, x = 4

Solution steps

(x)^{x} = x^{x}

Apply exponent rules

x ln (x) = x ln (x)

Solve

x ln (x) = x ln (x) : x = 1, x = 4

x = 1, x = 4

Verify Solutions:

x = 1

True

, x = 4

True

The solutions are

x = 1, x = 4

3^{2 x - 1} = 7^{x - 1}

(x - 1)^{(x - 1)} = 27

2^{16 - x} = 2^{x^{2} - 4}

5^{7 x + 5} = 12 5^{2 x - 7}

5^{x + 2} - 5^{x + 3} = 3000

What is the answer to (sqrt(x))^x=(x)^{sqrt(x)} ?
The answer to (sqrt(x))^x=(x)^{sqrt(x)} is x=1,x=4
Solve for x: (sqrt(x))^x=(x)^{sqrt(x)}
The solution is x=1,x=4