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

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


Simplifying
ln(x + 1) + -1ln(x + -2) = ln(x2)

Reorder the terms:
ln(1 + x) + -1ln(x + -2) = ln(x2)
(1 * ln + x * ln) + -1ln(x + -2) = ln(x2)
(1ln + lnx) + -1ln(x + -2) = ln(x2)

Reorder the terms:
1ln + lnx + -1ln(-2 + x) = ln(x2)
1ln + lnx + (-2 * -1ln + x * -1ln) = ln(x2)
1ln + lnx + (2ln + -1lnx) = ln(x2)

Reorder the terms:
1ln + 2ln + lnx + -1lnx = ln(x2)

Combine like terms: 1ln + 2ln = 3ln
3ln + lnx + -1lnx = ln(x2)

Combine like terms: lnx + -1lnx = 0
3ln + 0 = ln(x2)
3ln = ln(x2)

Multiply ln * x2
3ln = lnx2

Solving
3ln = lnx2

Solving for variable 'l'.

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

Add '-1lnx2' to each side of the equation.
3ln + -1lnx2 = lnx2 + -1lnx2

Combine like terms: lnx2 + -1lnx2 = 0
3ln + -1lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(3 + -1x2) = 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 + -1x2)' equal to zero and attempt to solve:

Simplifying
3 + -1x2 = 0

Solving
3 + -1x2 = 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 + -1x2 = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x2 = 0 + -3
-1x2 = 0 + -3

Combine like terms: 0 + -3 = -3
-1x2 = -3

Add 'x2' to each side of the equation.
-1x2 + x2 = -3 + x2

Combine like terms: -1x2 + x2 = 0
0 = -3 + x2

Simplifying
0 = -3 + x2

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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