What is the answer to 3^{x^2-12}=9^{2x} ?

The answer to 3^{x^2-12}=9^{2x} is x=6,x=-2

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3^{x^2-12}=9^{2x}

3^{x^{2} - 12} = 9^{2 x}

x = 6, x = - 2

Solution steps

3^{x^{2} - 12} = 9^{2 x}

Apply exponent rules

x^{2} - 12 = 4 x

Solve

x^{2} - 12 = 4 x : x = 6, x = - 2

x = 6, x = - 2

3^{x} = - 9

e^{x} = 3^{x - 2}

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

e^{\frac{1}{x}} = 0

x^{x^{9}} = 3^{3}

What is the answer to 3^{x^2-12}=9^{2x} ?
The answer to 3^{x^2-12}=9^{2x} is x=6,x=-2
Solve for x: 3^{x^2-12}=9^{2x}
The solution is x=6,x=-2