What is the answer to 9^x*3^{x^2}=81^2 ?

The answer to 9^x*3^{x^2}=81^2 is x=2,x=-4

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9^x*3^{x^2}=81^2

9^{x} \cdot 3^{x^{2}} = 8 1^{2}

x = 2, x = - 4

Solution steps

9^{x} \cdot 3^{x^{2}} = 8 1^{2}

Apply exponent rules

2 x + x^{2} = 8

Solve

2 x + x^{2} = 8 : x = 2, x = - 4

x = 2, x = - 4

e^{- x} - 9 e^{- 3 x} = 0

5^{x} = 2 5^{x - 2}

1 0^{x} = 3.94

(3^{x})^{x - 1} = 1

3^{1 - 2 x} = 4^{2 x + 5}

What is the answer to 9^x*3^{x^2}=81^2 ?
The answer to 9^x*3^{x^2}=81^2 is x=2,x=-4
Solve for x: 9^x*3^{x^2}=81^2
The solution is x=2,x=-4