What is the answer to 2log_{2}(3x)-6=-2 ?

The answer to 2log_{2}(3x)-6=-2 is x= 4/3

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2log_{2}(3x)-6=-2

2 lo g_{2} (3 x) - 6 = - 2

x = \frac{4}{3}

Decimal Notation

x = 1.33333 \dots

Solution steps

2 lo g_{2} (3 x) - 6 = - 2

Move

6

to the right side

2 lo g_{2} (3 x) = 4

Divide both sides by

2

lo g_{2} (3 x) = 2

Apply log rules

3 x = 4

Solve

3 x = 4 : x = \frac{4}{3}

x = \frac{4}{3}

Verify Solutions:

x = \frac{4}{3}

True

The solution is

x = \frac{4}{3}

ln (2 x - 4) - ln (x - 1) = ln (x - 2)

(lo g_{3} (x))^{2} = 4

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

ln (x) - ln (x) = 0

- 0.625 = ln (x)

What is the answer to 2log_{2}(3x)-6=-2 ?
The answer to 2log_{2}(3x)-6=-2 is x= 4/3
Solve for x: 2log_{2}(3x)-6=-2
The solution is x= 4/3