What is the answer to 2^{x^2+2x}=2^{x+6} ?

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

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

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

x = 2, x = - 3

Solution steps

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

Apply exponent rules

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

Solve

x^{2} + 2 x = x + 6 : x = 2, x = - 3

x = 2, x = - 3

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102 4^{x + 1} = 1 6^{3 x + 4}

2 e^{3 x} = 30

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

x, 3^{x} + 8 \cdot 3^{- x} = 9

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