What is the answer to log_{2}(x^2-3)=-3 ?

The answer to log_{2}(x^2-3)=-3 is x= 5/(2sqrt(2)),x=-5/(2sqrt(2))

Solve for x: log_{2}(x^2-3)=-3

The solution is x= 5/(2sqrt(2)),x=-5/(2sqrt(2))

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lo g_{2} (x^{2} - 3) = - 3

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

Decimal

x = 1.76776 \dots, x = - 1.76776 \dots

Solution steps

lo g_{2} (x^{2} - 3) = - 3

Apply log rules

x^{2} - 3 = \frac{1}{8}

Solve

x^{2} - 3 = \frac{1}{8} : x = \frac{5}{2 2}, x = - \frac{5}{2 2}

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

ln (3 x) = 2 x - 5

- 1 = 20 lo g_{10} (x)

lo g_{10} (x) - lo g_{10} (x + 3) = - 1

lo g_{100000} (x) = 5^{- 1}

lo g_{x} (8) 2 = \frac{7}{4}

What is the answer to log_{2}(x^2-3)=-3 ?
The answer to log_{2}(x^2-3)=-3 is x= 5/(2sqrt(2)),x=-5/(2sqrt(2))
Solve for x: log_{2}(x^2-3)=-3
The solution is x= 5/(2sqrt(2)),x=-5/(2sqrt(2))