2lny-ln(y-1)=ln(y+3)

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


Simplifying
2lny + -1ln(y + -1) = ln(y + 3)

Reorder the terms:
2lny + -1ln(-1 + y) = ln(y + 3)
2lny + (-1 * -1ln + y * -1ln) = ln(y + 3)
2lny + (1ln + -1lny) = ln(y + 3)

Reorder the terms:
1ln + 2lny + -1lny = ln(y + 3)

Combine like terms: 2lny + -1lny = 1lny
1ln + 1lny = ln(y + 3)

Reorder the terms:
1ln + 1lny = ln(3 + y)
1ln + 1lny = (3 * ln + y * ln)
1ln + 1lny = (3ln + lny)

Solving
1ln + 1lny = 3ln + lny

Solving for variable 'l'.

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

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

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

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

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

Combine like terms: 1lny + -1lny = 0
-2ln + 0 = lny + -1lny
-2ln = lny + -1lny

Combine like terms: lny + -1lny = 0
-2ln = 0

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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