What is the answer to 3^{x^2}-9^{6-2x}=0 ?

The answer to 3^{x^2}-9^{6-2x}=0 is x=2,x=-6

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3^{x^2}-9^{6-2x}=0

3^{x^{2}} - 9^{6 - 2 x} = 0

x = 2, x = - 6

Solution steps

3^{x^{2}} - 9^{6 - 2 x} = 0

Add

9^{6 - 2 x}

to both sides

3^{x^{2}} - 9^{6 - 2 x} + 9^{6 - 2 x} = 0 + 9^{6 - 2 x}

Simplify

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

Apply exponent rules

x^{2} = 2 (6 - 2 x)

Solve

x^{2} = 2 (6 - 2 x) : x = 2, x = - 6

x = 2, x = - 6

e^{3 l n (x)} = 125

5^{3 x - 3} = 1

e^{2 x} - 3 e^{x} - 4 = 0

8^{2 x} = 4^{x + 2}

What is the answer to 3^{x^2}-9^{6-2x}=0 ?
The answer to 3^{x^2}-9^{6-2x}=0 is x=2,x=-6
Solve for x: 3^{x^2}-9^{6-2x}=0
The solution is x=2,x=-6