What is the answer to 3^{2x^2-3}=81 ?

The answer to 3^{2x^2-3}=81 is x=sqrt(7/2),x=-sqrt(7/2)

Solve for x: 3^{2x^2-3}=81

The solution is x=sqrt(7/2),x=-sqrt(7/2)

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3^{2 x^{2} - 3} = 81

x = \frac{7}{2}, x = - \frac{7}{2}

Solution steps

3^{2 x^{2} - 3} = 81

Apply exponent rules

2 x^{2} - 3 = 4

Solve

2 x^{2} - 3 = 4 : x = \frac{7}{2}, x = - \frac{7}{2}

x = \frac{7}{2}, x = - \frac{7}{2}

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

e^{x^{2}} = (e^{x})^{2}

4^{y} = 16

500 e^{0.0675 t} = 1000

(\frac{1}{5})^{x - 7} = 125

What is the answer to 3^{2x^2-3}=81 ?
The answer to 3^{2x^2-3}=81 is x=sqrt(7/2),x=-sqrt(7/2)
Solve for x: 3^{2x^2-3}=81
The solution is x=sqrt(7/2),x=-sqrt(7/2)