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

The answer to 9^{x^2}=3^{x+3} is x= 3/2 ,x=-1

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9^{x^2}=3^{x+3}

9^{x^{2}} = 3^{x + 3}

x = \frac{3}{2}, x = - 1

Decimal Notation

x = 1.5, x = - 1

Solution steps

9^{x^{2}} = 3^{x + 3}

Apply exponent rules

2 x^{2} = x + 3

Solve

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

x = \frac{3}{2}, x = - 1

3^{2 x} = 7

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

9^{2 x - 1} = 3^{6 x}

12 5^{x} + 5^{3 x + 1} = 200

(\frac{8191}{8192})^{x} = 0.5

What is the answer to 9^{x^2}=3^{x+3} ?
The answer to 9^{x^2}=3^{x+3} is x= 3/2 ,x=-1
Solve for x: 9^{x^2}=3^{x+3}
The solution is x= 3/2 ,x=-1