What is the answer to -2log_{4}(x)=log_{4}(9) ?

The answer to -2log_{4}(x)=log_{4}(9) is x= 1/3

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-2log_{4}(x)=log_{4}(9)

- 2 lo g_{4} (x) = lo g_{4} (9)

x = \frac{1}{3}

Decimal Notation

x = 0.33333 \dots

Solution steps

- 2 lo g_{4} (x) = lo g_{4} (9)

Divide both sides by

- 2

lo g_{4} (x) = - \frac{lo g _{4} ( 9 )}{2}

Apply log rules

x = \frac{1}{3}

Verify Solutions:

x = \frac{1}{3}

True

The solution is

x = \frac{1}{3}

ln (5 x) - ln (3 - 2 x) = 1

2 ln (x) + 1 = 0

lo g_{2} (x + 4) - lo g_{2} (x - 1) = 1

lo g_{3} (y) + 4 lo g_{y} (3) = 4

lo g_{\frac{1}{2}} (x) = - 1

What is the answer to -2log_{4}(x)=log_{4}(9) ?
The answer to -2log_{4}(x)=log_{4}(9) is x= 1/3
Solve for x: -2log_{4}(x)=log_{4}(9)
The solution is x= 1/3