4lnx+2ln(x+1)-ln(x-1)=0

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Solution for 4lnx+2ln(x+1)-ln(x-1)=0 equation: 


Simplifying
4lnx + 2ln(x + 1) + -1ln(x + -1) = 0

Reorder the terms:
4lnx + 2ln(1 + x) + -1ln(x + -1) = 0
4lnx + (1 * 2ln + x * 2ln) + -1ln(x + -1) = 0
4lnx + (2ln + 2lnx) + -1ln(x + -1) = 0

Reorder the terms:
4lnx + 2ln + 2lnx + -1ln(-1 + x) = 0
4lnx + 2ln + 2lnx + (-1 * -1ln + x * -1ln) = 0
4lnx + 2ln + 2lnx + (1ln + -1lnx) = 0

Reorder the terms:
2ln + 1ln + 4lnx + 2lnx + -1lnx = 0

Combine like terms: 2ln + 1ln = 3ln
3ln + 4lnx + 2lnx + -1lnx = 0

Combine like terms: 4lnx + 2lnx = 6lnx
3ln + 6lnx + -1lnx = 0

Combine like terms: 6lnx + -1lnx = 5lnx
3ln + 5lnx = 0

Solving
3ln + 5lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + 5x) = 0


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 + 5x)' equal to zero and attempt to solve:

Simplifying
3 + 5x = 0

Solving
3 + 5x = 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 + 5x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 5x = 0 + -3
5x = 0 + -3

Combine like terms: 0 + -3 = -3
5x = -3

Add '-5x' to each side of the equation.
5x + -5x = -3 + -5x

Combine like terms: 5x + -5x = 0
0 = -3 + -5x

Simplifying
0 = -3 + -5x

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.

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