ln(2x+3)-ln(x-5)=0

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Solution for ln(2x+3)-ln(x-5)=0 equation: 


Simplifying
ln(2x + 3) + -1ln(x + -5) = 0

Reorder the terms:
ln(3 + 2x) + -1ln(x + -5) = 0
(3 * ln + 2x * ln) + -1ln(x + -5) = 0
(3ln + 2lnx) + -1ln(x + -5) = 0

Reorder the terms:
3ln + 2lnx + -1ln(-5 + x) = 0
3ln + 2lnx + (-5 * -1ln + x * -1ln) = 0
3ln + 2lnx + (5ln + -1lnx) = 0

Reorder the terms:
3ln + 5ln + 2lnx + -1lnx = 0

Combine like terms: 3ln + 5ln = 8ln
8ln + 2lnx + -1lnx = 0

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

Solving
8ln + 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(8 + 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 '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Add '-1x' to each side of the equation.
x + -1x = -8 + -1x

Combine like terms: x + -1x = 0
0 = -8 + -1x

Simplifying
0 = -8 + -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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