What is the answer to 2^{x^2-3}= 1/4 ?

The answer to 2^{x^2-3}= 1/4 is x=1,x=-1

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2^{x^2-3}= 1/4

2^{x^{2} - 3} = \frac{1}{4}

x = 1, x = - 1

Solution steps

2^{x^{2} - 3} = \frac{1}{4}

Apply exponent rules

x^{2} - 3 = - 2

Solve

x^{2} - 3 = - 2 : x = 1, x = - 1

x = 1, x = - 1

e^{x + 1} = 2

5^{x} = - 125

ln (\frac{e ^{2 x}}{4}) = 1

4^{x} + 2^{x} = 1

2^{x + 1} \times 1 6^{2 x + 1} = 3