What is the answer to 5^{2x^2+3x-2}=1 ?

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

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

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

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

Decimal Notation

x = 0.5, x = - 2

Solution steps

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

Apply exponent rules

(2 x^{2} + 3 x - 2) ln (5) = ln (1)

Solve

(2 x^{2} + 3 x - 2) ln (5) = ln (1) : x = \frac{1}{2}, x = - 2

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

2^{x - 5} = 6^{x}

3^{2 x - 5} = \frac{1}{3}

133 1^{x + 2} = \frac{1}{121}

51 = 3^{x}

1 0^{x} - 23 = 9977

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