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

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

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

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

x = \frac{5}{3}

Decimal Notation

x = 1.66666 \dots

Solution steps

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

Divide both sides by

2

lo g_{3} (3 x - 2) = 1

Apply log rules

3 x - 2 = 3

Solve

3 x - 2 = 3 : x = \frac{5}{3}

x = \frac{5}{3}

Verify Solutions:

x = \frac{5}{3}

True

The solution is

x = \frac{5}{3}

lo g_{x + 5} (2 x^{2} + 1) = 2

3.28 = 11.6 \cdot ln (c)

10 lo g_{7} (x - 3) = 66

ln (x^{3}) = 7

lo g_{c} (c^{6}) = 6

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