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

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


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

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

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

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

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

Combine like terms: lnx + -2lnx = -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 + -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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 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 + -1x = 0 + -8

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

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

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

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

Simplifying
0 = -8 + 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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