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

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

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

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

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

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

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

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

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

Multiply 2 * 3
2lnx = 6ln

Solving
2lnx = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-6ln + 2lnx = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-6ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-3 + x) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

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

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

Simplifying
0 = 3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.