ln(5x-2)=ln

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


Simplifying
ln(5x + -2) = ln

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

Solving
-2ln + 5lnx = ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-2ln + -1ln + 5lnx = ln + -1ln

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

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

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

Simplifying
-3 + 5x = 0

Solving
-3 + 5x = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5x = 0 + 3

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

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

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

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

Simplifying
0 = 3 + -5x

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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