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

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


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

Reorder the terms:
ln(-1 + x2) + ln(x) = ln(x2)
(-1 * ln + x2 * ln) + ln(x) = ln(x2)
(-1ln + lnx2) + ln(x) = ln(x2)

Multiply ln * x
-1ln + lnx2 + lnx = ln(x2)

Reorder the terms:
-1ln + lnx + lnx2 = ln(x2)

Multiply ln * x2
-1ln + lnx + lnx2 = lnx2

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

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

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

Solving
-1ln + lnx = 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(-1 + x) = 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 '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

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

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

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

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

Simplifying
0 = 1 + -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.

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