What is the answer to x^22^x-2^x18=0 ?

The answer to x^22^x-2^x18=0 is x=-3sqrt(2),x=3sqrt(2)

Solve for x: x^22^x-2^x18=0

The solution is x=-3sqrt(2),x=3sqrt(2)

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x^{2} 2^{x} - 2^{x} 18 = 0

x = - 32, x = 32

Decimal Notation

x = - 4.24264 \dots, x = 4.24264 \dots

Solution steps

x^{2} \cdot 2^{x} - 2^{x} \cdot 18 = 0

Factor

2^{x} (x + 32) (x - 32) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2^{x} = 0 or x + 32 = 0 or x - 32 = 0

Solve

2^{x} = 0 :

No Solution for

x \in R

Solve

x + 32 = 0 : x = - 32

Solve

x - 32 = 0 : x = 32

x = - 32, x = 32

7^{3 x^{2}} = 4 9^{- 6 x + 2}

2 e^{- 3 x} x - 3 e^{- 3 x} x^{2} = 0

4^{x + 5} = 1 6^{5 x - 1}

(9^{5 x}) (3^{2 x - 2}) = 27

3^{x^{2} - 5} - 9^{x - 1} = 0

What is the answer to x^22^x-2^x18=0 ?
The answer to x^22^x-2^x18=0 is x=-3sqrt(2),x=3sqrt(2)
Solve for x: x^22^x-2^x18=0
The solution is x=-3sqrt(2),x=3sqrt(2)