What is the answer to ln((3x+2)/2)=-1 ?

The answer to ln((3x+2)/2)=-1 is x=(2-2e)/(3e)

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ln((3x+2)/2)=-1

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

x = \frac{2 - 2 e}{3 e}

Decimal Notation

x = - 0.42141 \dots

Solution steps

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

Apply log rules

\frac{3 x + 2}{2} = e^{- 1}

Multiply both sides by

2

\frac{3 x + 2}{2} \cdot 2 = e^{- 1} \cdot 2

Simplify

e^{- 1} \cdot 2 : \frac{2}{e}

3 x + 2 = \frac{2}{e}

Solve

3 x + 2 = \frac{2}{e} : x = \frac{2 - 2 e}{3 e}

x = \frac{2 - 2 e}{3 e}

Verify Solutions:

x = \frac{2 - 2 e}{3 e}

True

The solution is

x = \frac{2 - 2 e}{3 e}

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

x, y^{4} = ln (x y)

ln (x^{2} - x) = ln (6)

ln (x + 1) x = 0

- 1 + lo g_{3} (- 5 x + x^{2} - 62) = 3

What is the answer to ln((3x+2)/2)=-1 ?
The answer to ln((3x+2)/2)=-1 is x=(2-2e)/(3e)
Solve for x: ln((3x+2)/2)=-1
The solution is x=(2-2e)/(3e)