ln(5x-6)-ln(3x-1)=0

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Solution for ln(5x-6)-ln(3x-1)=0 equation: 


Simplifying
ln(5x + -6) + -1ln(3x + -1) = 0

Reorder the terms:
ln(-6 + 5x) + -1ln(3x + -1) = 0
(-6 * ln + 5x * ln) + -1ln(3x + -1) = 0
(-6ln + 5lnx) + -1ln(3x + -1) = 0

Reorder the terms:
-6ln + 5lnx + -1ln(-1 + 3x) = 0
-6ln + 5lnx + (-1 * -1ln + 3x * -1ln) = 0
-6ln + 5lnx + (1ln + -3lnx) = 0

Reorder the terms:
-6ln + 1ln + 5lnx + -3lnx = 0

Combine like terms: -6ln + 1ln = -5ln
-5ln + 5lnx + -3lnx = 0

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

Solving
-5ln + 2lnx = 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(-5 + 2x) = 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 '(-5 + 2x)' equal to zero and attempt to solve:

Simplifying
-5 + 2x = 0

Solving
-5 + 2x = 0

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

Add '5' to each side of the equation.
-5 + 5 + 2x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2x = 0 + 5
2x = 0 + 5

Combine like terms: 0 + 5 = 5
2x = 5

Add '-2x' to each side of the equation.
2x + -2x = 5 + -2x

Combine like terms: 2x + -2x = 0
0 = 5 + -2x

Simplifying
0 = 5 + -2x

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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