What is the answer to 3^{x^2+6x}=9^{-4} ?

The answer to 3^{x^2+6x}=9^{-4} is x=-2,x=-4

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

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

x = - 2, x = - 4

Solution steps

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

Apply exponent rules

x^{2} + 6 x = - 8

Solve

x^{2} + 6 x = - 8 : x = - 2, x = - 4

x = - 2, x = - 4

6^{3 x - 2} = 4 \cdot 2^{x}

4^{a} + 4^{a - 2} = 34

8^{x} = 12

6^{2 x + 6} = 1

e^{x} - 3 x = 0

What is the answer to 3^{x^2+6x}=9^{-4} ?
The answer to 3^{x^2+6x}=9^{-4} is x=-2,x=-4
Solve for x: 3^{x^2+6x}=9^{-4}
The solution is x=-2,x=-4