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

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

Simplifying
ln2(x) = ln(x + 1)

Multiply ln2 * x
ln2x = ln(x + 1)

Reorder the terms:
ln2x = ln(1 + x)
ln2x = (1 * ln + x * ln)
ln2x = (1ln + lnx)

Solving
ln2x = 1ln + lnx

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-1ln + ln2x = 1ln + -1ln + lnx

Combine like terms: 1ln + -1ln = 0
-1ln + ln2x = 0 + lnx
-1ln + ln2x = lnx

Add '-1lnx' to each side of the equation.
-1ln + -1lnx + ln2x = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1ln + -1lnx + ln2x = 0

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

Simplifying
-1 + -1x + nx = 0

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

Solving
-1 + nx + -1x = 0

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

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

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

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

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

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

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

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

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

Simplifying
0 = 1 + -1nx + x

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.