What is the answer to x^23^x-3^{x+2}=0 ?

The answer to x^23^x-3^{x+2}=0 is x=-3,x=3

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x^23^x-3^{x+2}=0

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

x = - 3, x = 3

Solution steps

x^{2} \cdot 3^{x} - 3^{x + 2} = 0

Factor

x^{2} \cdot 3^{x} - 3^{x + 2} : 3^{x} (x + 3) (x - 3)

3^{x} (x + 3) (x - 3) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

3^{x} = 0 or x + 3 = 0 or x - 3 = 0

Solve

3^{x} = 0 :

No Solution for

x \in R

Solve

x + 3 = 0 : x = - 3

Solve

x - 3 = 0 : x = 3

x = - 3, x = 3

16 \cdot 2^{6 m} = 2^{3 m - 8}

2^{5 - 7 x} = 15

4^{x^{2} + 1} = 2^{5 x + 5}

x^{3} = 1. 5^{x}

4^{x + 2} - 3 \times 2^{x + 3} = 160

What is the answer to x^23^x-3^{x+2}=0 ?
The answer to x^23^x-3^{x+2}=0 is x=-3,x=3
Solve for x: x^23^x-3^{x+2}=0
The solution is x=-3,x=3