ln(3x+1)-ln(2x-8)=0

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Solution for ln(3x+1)-ln(2x-8)=0 equation: 


Simplifying
ln(3x + 1) + -1ln(2x + -8) = 0

Reorder the terms:
ln(1 + 3x) + -1ln(2x + -8) = 0
(1 * ln + 3x * ln) + -1ln(2x + -8) = 0
(1ln + 3lnx) + -1ln(2x + -8) = 0

Reorder the terms:
1ln + 3lnx + -1ln(-8 + 2x) = 0
1ln + 3lnx + (-8 * -1ln + 2x * -1ln) = 0
1ln + 3lnx + (8ln + -2lnx) = 0

Reorder the terms:
1ln + 8ln + 3lnx + -2lnx = 0

Combine like terms: 1ln + 8ln = 9ln
9ln + 3lnx + -2lnx = 0

Combine like terms: 3lnx + -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 + 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 '(9 + x)' equal to zero and attempt to solve:

Simplifying
9 + x = 0

Solving
9 + x = 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 + x = 0 + -9

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

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

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

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

Simplifying
0 = -9 + -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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