4ln(6x+2)+11=31

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Solution for 4ln(6x+2)+11=31 equation: 


Simplifying
4ln(6x + 2) + 11 = 31

Reorder the terms:
4ln(2 + 6x) + 11 = 31
(2 * 4ln + 6x * 4ln) + 11 = 31
(8ln + 24lnx) + 11 = 31

Reorder the terms:
11 + 8ln + 24lnx = 31

Solving
11 + 8ln + 24lnx = 31

Solving for variable 'l'.

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

Add '-11' to each side of the equation.
11 + 8ln + -11 + 24lnx = 31 + -11

Reorder the terms:
11 + -11 + 8ln + 24lnx = 31 + -11

Combine like terms: 11 + -11 = 0
0 + 8ln + 24lnx = 31 + -11
8ln + 24lnx = 31 + -11

Combine like terms: 31 + -11 = 20
8ln + 24lnx = 20

Reorder the terms:
-20 + 8ln + 24lnx = 20 + -20

Combine like terms: 20 + -20 = 0
-20 + 8ln + 24lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-5 + 2ln + 6lnx) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-5 + 2ln + 6lnx)' equal to zero and attempt to solve:

Simplifying
-5 + 2ln + 6lnx = 0

Solving
-5 + 2ln + 6lnx = 0

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

Add '5' to each side of the equation.
-5 + 2ln + 5 + 6lnx = 0 + 5

Reorder the terms:
-5 + 5 + 2ln + 6lnx = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 2ln + 6lnx = 0 + 5
2ln + 6lnx = 0 + 5

Combine like terms: 0 + 5 = 5
2ln + 6lnx = 5

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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