2ln(X-6)=ln(X)

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Solution for 2ln(X-6)=ln(X) equation: 


Simplifying
2ln(X + -6) = ln(X)

Reorder the terms:
2ln(-6 + X) = ln(X)
(-6 * 2ln + X * 2ln) = ln(X)
(-12ln + 2lnX) = ln(X)

Multiply ln * X
-12ln + 2lnX = lnX

Solving
-12ln + 2lnX = lnX

Solving for variable 'l'.

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

Add '-1lnX' to each side of the equation.
-12ln + 2lnX + -1lnX = lnX + -1lnX

Combine like terms: 2lnX + -1lnX = 1lnX
-12ln + 1lnX = lnX + -1lnX

Combine like terms: lnX + -1lnX = 0
-12ln + 1lnX = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-12 + 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 '(-12 + X)' equal to zero and attempt to solve:

Simplifying
-12 + X = 0

Solving
-12 + X = 0

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

Add '12' to each side of the equation.
-12 + 12 + X = 0 + 12

Combine like terms: -12 + 12 = 0
0 + X = 0 + 12
X = 0 + 12

Combine like terms: 0 + 12 = 12
X = 12

Add '-1X' to each side of the equation.
X + -1X = 12 + -1X

Combine like terms: X + -1X = 0
0 = 12 + -1X

Simplifying
0 = 12 + -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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