ln(3x+2)=ln(3x-9)

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Solution for ln(3x+2)=ln(3x-9) equation:


Simplifying
ln(3x + 2) = ln(3x + -9)

Reorder the terms:
ln(2 + 3x) = ln(3x + -9)
(2 * ln + 3x * ln) = ln(3x + -9)
(2ln + 3lnx) = ln(3x + -9)

Reorder the terms:
2ln + 3lnx = ln(-9 + 3x)
2ln + 3lnx = (-9 * ln + 3x * ln)
2ln + 3lnx = (-9ln + 3lnx)

Add '-3lnx' to each side of the equation.
2ln + 3lnx + -3lnx = -9ln + 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
2ln + 0 = -9ln + 3lnx + -3lnx
2ln = -9ln + 3lnx + -3lnx

Combine like terms: 3lnx + -3lnx = 0
2ln = -9ln + 0
2ln = -9ln

Solving
2ln = -9ln

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '9ln' to each side of the equation.
2ln + 9ln = -9ln + 9ln

Combine like terms: 2ln + 9ln = 11ln
11ln = -9ln + 9ln

Combine like terms: -9ln + 9ln = 0
11ln = 0

Divide each side by '11'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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