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

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


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

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

Multiply ln * x
1ln + lnx2 = lnx

Solving
1ln + lnx2 = lnx

Solving for variable 'l'.

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

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

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

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

Simplifying
1 + -1x + x2 = 0

Solving
1 + -1x + x2 = 0

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

Add '-1' to each side of the equation.
1 + -1x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1x + x2 = 0 + -1

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

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

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

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

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

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

Simplifying
0 = -1 + x + -1x2

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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