ln(3+x)-ln(2x-6)=0

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Solution for ln(3+x)-ln(2x-6)=0 equation: 


Simplifying
ln(3 + x) + -1ln(2x + -6) = 0
(3 * ln + x * ln) + -1ln(2x + -6) = 0
(3ln + lnx) + -1ln(2x + -6) = 0

Reorder the terms:
3ln + lnx + -1ln(-6 + 2x) = 0
3ln + lnx + (-6 * -1ln + 2x * -1ln) = 0
3ln + lnx + (6ln + -2lnx) = 0

Reorder the terms:
3ln + 6ln + lnx + -2lnx = 0

Combine like terms: 3ln + 6ln = 9ln
9ln + lnx + -2lnx = 0

Combine like terms: lnx + -2lnx = -1lnx
9ln + -1lnx = 0

Solving
9ln + -1lnx = 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), 'ln'.
ln(9 + -1x) = 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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Add 'x' to each side of the equation.
-1x + x = -9 + x

Combine like terms: -1x + x = 0
0 = -9 + x

Simplifying
0 = -9 + x

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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