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

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


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

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

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

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

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

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

Reorder the terms for easier multiplication:
2ln = 3ln

Solving
2ln = 3ln

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.
2ln + -3ln = 3ln + -3ln

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

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

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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