What is the answer to x^22^x-2x=0 ?

The answer to x^22^x-2x=0 is x=0,x=1

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x^22^x-2x=0

x^{2} 2^{x} - 2 x = 0

x = 0, x = 1

Solution steps

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

Factor

x^{2} \cdot 2^{x} - 2 x : x (2^{x} x - 2)

x (2^{x} x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 2^{x} x - 2 = 0

Solve

2^{x} x - 2 = 0 : x = 1

x = 0, x = 1

2^{n - 1} = 60000

x, 3^{x} - 3^{x - 1} = 54

8^{- x} = \frac{1}{64}

2^{y} = 2

2^{y} = 0