What is the answer to 3^{x^2+4x}= 1/27 ?

The answer to 3^{x^2+4x}= 1/27 is x=-1,x=-3

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3^{x^2+4x}= 1/27

3^{x^{2} + 4 x} = \frac{1}{27}

x = - 1, x = - 3

Solution steps

3^{x^{2} + 4 x} = \frac{1}{27}

Apply exponent rules

x^{2} + 4 x = - 3

Solve

x^{2} + 4 x = - 3 : x = - 1, x = - 3

x = - 1, x = - 3

4^{2 x} + 4^{x} - 2 = 0

6^{2 + x} = 8^{8 + 2 x}

e^{x - 7} = 8^{4 x}

1.0 2^{x} = 2

e^{- 2 x} = \frac{1}{3}

What is the answer to 3^{x^2+4x}= 1/27 ?
The answer to 3^{x^2+4x}= 1/27 is x=-1,x=-3
Solve for x: 3^{x^2+4x}= 1/27
The solution is x=-1,x=-3