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

The answer to log_{2}(x(2-3x))=-2 is x= 1/6 ,x= 1/2

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log_{2}(x(2-3x))=-2

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

x = \frac{1}{6}, x = \frac{1}{2}

Decimal Notation

x = 0.16666 \dots, x = 0.5

Solution steps

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

Apply log rules

x (2 - 3 x) = \frac{1}{4}

Solve

x (2 - 3 x) = \frac{1}{4} : x = \frac{1}{6}, x = \frac{1}{2}

x = \frac{1}{6}, x = \frac{1}{2}

ln ∣ y ∣ = x, y

lo g_{10} (x) = 50

lo g_{10} (x) = - 7

5 = lo g_{10} (\frac{1}{x})

x, lo g_{e} (x) = - 5

What is the answer to log_{2}(x(2-3x))=-2 ?
The answer to log_{2}(x(2-3x))=-2 is x= 1/6 ,x= 1/2
Solve for x: log_{2}(x(2-3x))=-2
The solution is x= 1/6 ,x= 1/2