ln(x-2)lnx=0

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Solution for ln(x-2)lnx=0 equation: 


Simplifying
ln(x + -2) * lnx = 0

Reorder the terms:
ln(-2 + x) * lnx = 0

Reorder the terms for easier multiplication:
ln * lnx(-2 + x) = 0

Multiply ln * lnx
l2n2x(-2 + x) = 0
(-2 * l2n2x + x * l2n2x) = 0
(-2l2n2x + l2n2x2) = 0

Solving
-2l2n2x + l2n2x2 = 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), 'l2n2x'.
l2n2x(-2 + x) = 0


Subproblem 1
Set the factor 'l2n2x' equal to zero and attempt to solve:

Simplifying
l2n2x = 0

Solving
l2n2x = 0

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

Simplifying
l2n2x = 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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

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

Combine like terms: 0 + 2 = 2
x = 2

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

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

Simplifying
0 = 2 + -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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