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

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

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

Reorder the terms:
4ln(-1 + 4x) + 1 = 5
(-1 * 4ln + 4x * 4ln) + 1 = 5
(-4ln + 16lnx) + 1 = 5

Reorder the terms:
1 + -4ln + 16lnx = 5

Solving
1 + -4ln + 16lnx = 5

Solving for variable 'l'.

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

Add '-1' to each side of the equation.
1 + -4ln + -1 + 16lnx = 5 + -1

Reorder the terms:
1 + -1 + -4ln + 16lnx = 5 + -1

Combine like terms: 1 + -1 = 0
0 + -4ln + 16lnx = 5 + -1
-4ln + 16lnx = 5 + -1

Combine like terms: 5 + -1 = 4
-4ln + 16lnx = 4

Reorder the terms:
-4 + -4ln + 16lnx = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + -4ln + 16lnx = 0

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

Ignore the factor 4.
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.