4ln(x+5)-6=-4

Solution for 4ln(x+5)-6=-4 equation:

Simplifying
4ln(x + 5) + -6 = -4

Reorder the terms:
4ln(5 + x) + -6 = -4
(5 * 4ln + x * 4ln) + -6 = -4
(20ln + 4lnx) + -6 = -4

Reorder the terms:
-6 + 20ln + 4lnx = -4

Solving
-6 + 20ln + 4lnx = -4

Solving for variable 'l'.

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

Add '6' to each side of the equation.
-6 + 20ln + 6 + 4lnx = -4 + 6

Reorder the terms:
-6 + 6 + 20ln + 4lnx = -4 + 6

Combine like terms: -6 + 6 = 0
0 + 20ln + 4lnx = -4 + 6
20ln + 4lnx = -4 + 6

Combine like terms: -4 + 6 = 2
20ln + 4lnx = 2

Reorder the terms:
-2 + 20ln + 4lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 20ln + 4lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 10ln + 2lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 10ln + 2lnx)' equal to zero and attempt to solve:

Simplifying
-1 + 10ln + 2lnx = 0

Solving
-1 + 10ln + 2lnx = 0

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

Add '1' to each side of the equation.
-1 + 10ln + 1 + 2lnx = 0 + 1

Reorder the terms:
-1 + 1 + 10ln + 2lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 10ln + 2lnx = 0 + 1
10ln + 2lnx = 0 + 1

Combine like terms: 0 + 1 = 1
10ln + 2lnx = 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.