What is the answer to 3^{2x^2}=3^{9x+5} ?

The answer to 3^{2x^2}=3^{9x+5} is x=5,x=-1/2

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3^{2x^2}=3^{9x+5}

3^{2 x^{2}} = 3^{9 x + 5}

x = 5, x = - \frac{1}{2}

Decimal

x = 5, x = - 0.5

Solution steps

3^{2 x^{2}} = 3^{9 x + 5}

Apply exponent rules

2 x^{2} = 9 x + 5

Solve

2 x^{2} = 9 x + 5 : x = 5, x = - \frac{1}{2}

x = 5, x = - \frac{1}{2}

x^{l o g_{5} (x)} = 400

4300 = 7900 (1 - 0.04)^{x}

2 = 1.1 1^{x}

\frac{1}{2} (e^{x} - e^{- x}) = 0

0.062 5^{a + 4} = 0.062 5^{3 a + 4}

What is the answer to 3^{2x^2}=3^{9x+5} ?
The answer to 3^{2x^2}=3^{9x+5} is x=5,x=-1/2
Solve for x: 3^{2x^2}=3^{9x+5}
The solution is x=5,x=-1/2