What is the answer to x^{log_{2}(x)}=2 ?

The answer to x^{log_{2}(x)}=2 is x=2,x= 1/2

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x^{log_{2}(x)}=2

x^{l o g_{2} (x)} = 2

x = 2, x = \frac{1}{2}

Solution steps

x^{l o g_{2} (x)} = 2

Apply exponent rules

lo g_{2} (x) ln (x) = ln (2)

Solve

lo g_{2} (x) ln (x) = ln (2) : x = 2, x = \frac{1}{2}

x = 2, x = \frac{1}{2}

Verify Solutions:

x = 2

True

, x = \frac{1}{2}

True

The solutions are

x = 2, x = \frac{1}{2}

4^{x - 5} = (\frac{1}{8})^{8 - x}

\frac{1}{16} = 6 4^{4 x - 3}

e^{x} (2 x + x^{2}) = 0

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

8 1^{x^{2} - 1} = 2 7^{- (7 - 5 x)}

What is the answer to x^{log_{2}(x)}=2 ?
The answer to x^{log_{2}(x)}=2 is x=2,x= 1/2
Solve for x: x^{log_{2}(x)}=2
The solution is x=2,x= 1/2