=ln(3x-5)

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


Simplifying
0 = ln(3x + -5)

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

Solving
0 = -5ln + 3lnx

Solving for variable 'l'.

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

Add '5ln' to each side of the equation.
0 + 5ln = -5ln + 5ln + 3lnx
Remove the zero:
5ln = -5ln + 5ln + 3lnx

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

Add '-3lnx' to each side of the equation.
5ln + -3lnx = 3lnx + -3lnx

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(5 + -3x) = 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 + -3x)' equal to zero and attempt to solve:

Simplifying
5 + -3x = 0

Solving
5 + -3x = 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 + -3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -3x = 0 + -5
-3x = 0 + -5

Combine like terms: 0 + -5 = -5
-3x = -5

Add '3x' to each side of the equation.
-3x + 3x = -5 + 3x

Combine like terms: -3x + 3x = 0
0 = -5 + 3x

Simplifying
0 = -5 + 3x

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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