ln(x+1)+ln(-2x+5)-ln(2x-1)=0

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Solution for ln(x+1)+ln(-2x+5)-ln(2x-1)=0 equation: 


Simplifying
ln(x + 1) + ln(-2x + 5) + -1ln(2x + -1) = 0

Reorder the terms:
ln(1 + x) + ln(-2x + 5) + -1ln(2x + -1) = 0
(1 * ln + x * ln) + ln(-2x + 5) + -1ln(2x + -1) = 0
(1ln + lnx) + ln(-2x + 5) + -1ln(2x + -1) = 0

Reorder the terms:
1ln + lnx + ln(5 + -2x) + -1ln(2x + -1) = 0
1ln + lnx + (5 * ln + -2x * ln) + -1ln(2x + -1) = 0
1ln + lnx + (5ln + -2lnx) + -1ln(2x + -1) = 0

Reorder the terms:
1ln + lnx + 5ln + -2lnx + -1ln(-1 + 2x) = 0
1ln + lnx + 5ln + -2lnx + (-1 * -1ln + 2x * -1ln) = 0
1ln + lnx + 5ln + -2lnx + (1ln + -2lnx) = 0

Reorder the terms:
1ln + 5ln + 1ln + lnx + -2lnx + -2lnx = 0

Combine like terms: 1ln + 5ln = 6ln
6ln + 1ln + lnx + -2lnx + -2lnx = 0

Combine like terms: 6ln + 1ln = 7ln
7ln + lnx + -2lnx + -2lnx = 0

Combine like terms: lnx + -2lnx = -1lnx
7ln + -1lnx + -2lnx = 0

Combine like terms: -1lnx + -2lnx = -3lnx
7ln + -3lnx = 0

Solving
7ln + -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(7 + -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 '(7 + -3x)' equal to zero and attempt to solve:

Simplifying
7 + -3x = 0

Solving
7 + -3x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -3x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3x = 0 + -7
-3x = 0 + -7

Combine like terms: 0 + -7 = -7
-3x = -7

Add '3x' to each side of the equation.
-3x + 3x = -7 + 3x

Combine like terms: -3x + 3x = 0
0 = -7 + 3x

Simplifying
0 = -7 + 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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