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

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

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

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

5^{3 r - 5} = 5^{2}

0 = e^{x^{2}}

2^{2 x} - 2 \cdot 2^{x} - 8 = 0

3 e^{x} + 2 = 5

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