ln*x^2=(ln*x)(ln*x)

Solution for ln*x^2=(ln*x)(ln*x) equation:

Simplifying
ln * x2 = (ln * x)(ln * x)

Multiply ln * x2
lnx2 = (ln * x)(ln * x)

Multiply ln * x
lnx2 = (lnx)(ln * x)

Multiply ln * x
lnx2 = lnx(lnx)

Multiply lnx * lnx
lnx2 = l2n2x2

Solving
lnx2 = l2n2x2

Solving for variable 'l'.

Combine like terms: l2n2x2 + -1l2n2x2 = 0
lnx2 + -1l2n2x2 = 0

Factor out the Greatest Common Factor (GCF), 'lnx2'.
lnx2(1 + -1ln) = 0

Subproblem 1
Set the factor 'lnx2' equal to zero and attempt to solve:

Simplifying
lnx2 = 0

Solving
lnx2 = 0

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

Simplifying
lnx2 = 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 + -1ln)' equal to zero and attempt to solve:

Simplifying
1 + -1ln = 0

Solving
1 + -1ln = 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 + -1ln = 0 + -1

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

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

Divide each side by '-1n'.
l = n-1

Simplifying
l = n-1
Solution
l = {n-1}