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

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

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

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

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

Decimal Notation

x = 2, x = - 0.5

Solution steps

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

Apply exponent rules

2 x^{2} = 3 x + 2

Solve

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

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

3^{x^{3}} = 24 3^{x}

2^{y} = 10

7^{3 x + 1} = 5^{x}

12 \cdot 2^{x} = 1

4^{x} - 3 \times 2^{x} - 4 = 0

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