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

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


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

Multiply ln * x
2lnx + -1ln(x + -1) = 2ln(2)

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

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

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

Reorder the terms for easier multiplication:
1ln + 1lnx = 2 * 2ln

Multiply 2 * 2
1ln + 1lnx = 4ln

Solving
1ln + 1lnx = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
1ln + -4ln + 1lnx = 4ln + -4ln

Combine like terms: 1ln + -4ln = -3ln
-3ln + 1lnx = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-3ln + 1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + 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 '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -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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