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

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Solution for ln(3x-1)=ln(2-x)+1 equation: 


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

Reorder the terms:
ln(-1 + 3x) = ln(2 + -1x) + 1
(-1 * ln + 3x * ln) = ln(2 + -1x) + 1
(-1ln + 3lnx) = ln(2 + -1x) + 1
-1ln + 3lnx = (2 * ln + -1x * ln) + 1
-1ln + 3lnx = (2ln + -1lnx) + 1

Reorder the terms:
-1ln + 3lnx = 1 + 2ln + -1lnx

Solving
-1ln + 3lnx = 1 + 2ln + -1lnx

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
-1ln + -2ln + 3lnx = 1 + 2ln + -2ln + -1lnx

Combine like terms: -1ln + -2ln = -3ln
-3ln + 3lnx = 1 + 2ln + -2ln + -1lnx

Combine like terms: 2ln + -2ln = 0
-3ln + 3lnx = 1 + 0 + -1lnx
-3ln + 3lnx = 1 + -1lnx

Add 'lnx' to each side of the equation.
-3ln + 3lnx + lnx = 1 + -1lnx + lnx

Combine like terms: 3lnx + lnx = 4lnx
-3ln + 4lnx = 1 + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-3ln + 4lnx = 1 + 0
-3ln + 4lnx = 1

Reorder the terms:
-1 + -3ln + 4lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -3ln + 4lnx = 0

The solution to this equation could not be determined.

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