3ln(4x-1)+2=5

Solution for 3ln(4x-1)+2=5 equation:

Simplifying
3ln(4x + -1) + 2 = 5

Reorder the terms:
3ln(-1 + 4x) + 2 = 5
(-1 * 3ln + 4x * 3ln) + 2 = 5
(-3ln + 12lnx) + 2 = 5

Reorder the terms:
2 + -3ln + 12lnx = 5

Solving
2 + -3ln + 12lnx = 5

Solving for variable 'l'.

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

Add '-2' to each side of the equation.
2 + -3ln + -2 + 12lnx = 5 + -2

Reorder the terms:
2 + -2 + -3ln + 12lnx = 5 + -2

Combine like terms: 2 + -2 = 0
0 + -3ln + 12lnx = 5 + -2
-3ln + 12lnx = 5 + -2

Combine like terms: 5 + -2 = 3
-3ln + 12lnx = 3

Reorder the terms:
-3 + -3ln + 12lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -3ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + -1ln + 4lnx) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + -1ln + 4lnx)' equal to zero and attempt to solve:

Simplifying
-1 + -1ln + 4lnx = 0

Solving
-1 + -1ln + 4lnx = 0

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

Add '1' to each side of the equation.
-1 + -1ln + 1 + 4lnx = 0 + 1

Reorder the terms:
-1 + 1 + -1ln + 4lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1ln + 4lnx = 0 + 1
-1ln + 4lnx = 0 + 1

Combine like terms: 0 + 1 = 1
-1ln + 4lnx = 1

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.