lnx^2=ln(2x+1)

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


Simplifying
lnx2 = ln(2x + 1)

Reorder the terms:
lnx2 = ln(1 + 2x)
lnx2 = (1 * ln + 2x * ln)
lnx2 = (1ln + 2lnx)

Solving
lnx2 = 1ln + 2lnx

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 + lnx2 = 1ln + -1ln + 2lnx

Combine like terms: 1ln + -1ln = 0
-1ln + lnx2 = 0 + 2lnx
-1ln + lnx2 = 2lnx

Add '-2lnx' to each side of the equation.
-1ln + -2lnx + lnx2 = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-1ln + -2lnx + lnx2 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + -2x + 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 + -2x + x2)' equal to zero and attempt to solve:

Simplifying
-1 + -2x + x2 = 0

Solving
-1 + -2x + 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 + -2x + 1 + x2 = 0 + 1

Reorder the terms:
-1 + 1 + -2x + x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2x + x2 = 0 + 1
-2x + x2 = 0 + 1

Combine like terms: 0 + 1 = 1
-2x + x2 = 1

Add '2x' to each side of the equation.
-2x + 2x + x2 = 1 + 2x

Combine like terms: -2x + 2x = 0
0 + x2 = 1 + 2x
x2 = 1 + 2x

Add '-1x2' to each side of the equation.
x2 + -1x2 = 1 + 2x + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 1 + 2x + -1x2

Simplifying
0 = 1 + 2x + -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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