2ln(x-2)-lnx=ln(1)

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


Simplifying
2ln(x + -2) + -1lnx = ln(1)

Reorder the terms:
2ln(-2 + x) + -1lnx = ln(1)
(-2 * 2ln + x * 2ln) + -1lnx = ln(1)
(-4ln + 2lnx) + -1lnx = ln(1)

Combine like terms: 2lnx + -1lnx = 1lnx
-4ln + 1lnx = ln(1)

Reorder the terms for easier multiplication:
-4ln + 1lnx = 1ln

Solving
-4ln + 1lnx = 1ln

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.
-4ln + -1ln + 1lnx = 1ln + -1ln

Combine like terms: -4ln + -1ln = -5ln
-5ln + 1lnx = 1ln + -1ln

Combine like terms: 1ln + -1ln = 0
-5ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-5 + x) = 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 '(-5 + x)' equal to zero and attempt to solve:

Simplifying
-5 + x = 0

Solving
-5 + x = 0

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

Add '5' to each side of the equation.
-5 + 5 + x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + x = 0 + 5
x = 0 + 5

Combine like terms: 0 + 5 = 5
x = 5

Add '-1x' to each side of the equation.
x + -1x = 5 + -1x

Combine like terms: x + -1x = 0
0 = 5 + -1x

Simplifying
0 = 5 + -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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