What is the answer to x^{log_{2}(x)+2}=8 ?

The answer to x^{log_{2}(x)+2}=8 is x=2,x= 1/8

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x^{log_{2}(x)+2}=8

x^{l o g_{2} (x) + 2} = 8

x = 2, x = \frac{1}{8}

Decimal Notation

x = 2, x = 0.125

Solution steps

x^{l o g_{2} (x) + 2} = 8

Apply exponent rules

(lo g_{2} (x) + 2) ln (x) = ln (8)

Solve

(lo g_{2} (x) + 2) ln (x) = ln (8) : x = 2, x = \frac{1}{8}

x = 2, x = \frac{1}{8}

Verify Solutions:

x = 2

True

, x = \frac{1}{8}

True

The solutions are

x = 2, x = \frac{1}{8}

0 = 2^{x}

x, y = e^{2 x}

10 e^{(x - 9)} = 90

x^{x^{3}} = 3

What is the answer to x^{log_{2}(x)+2}=8 ?
The answer to x^{log_{2}(x)+2}=8 is x=2,x= 1/8
Solve for x: x^{log_{2}(x)+2}=8
The solution is x=2,x= 1/8