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

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


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

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

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

Reorder the terms for easier multiplication:
1ln + 2lnx + -1ln + lnx + -1 * 2ln = 0

Multiply -1 * 2
1ln + 2lnx + -1ln + lnx + -2ln = 0

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

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

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

Solving
-2ln + 3lnx = 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(-2 + 3x) = 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 '(-2 + 3x)' equal to zero and attempt to solve:

Simplifying
-2 + 3x = 0

Solving
-2 + 3x = 0

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

Add '2' to each side of the equation.
-2 + 2 + 3x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 3x = 0 + 2
3x = 0 + 2

Combine like terms: 0 + 2 = 2
3x = 2

Add '-3x' to each side of the equation.
3x + -3x = 2 + -3x

Combine like terms: 3x + -3x = 0
0 = 2 + -3x

Simplifying
0 = 2 + -3x

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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