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

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


Simplifying
(3ln(2x + 3)) + -1(2ln(2x + -1)) = 0

Reorder the terms:
(3ln(3 + 2x)) + -1(2ln(2x + -1)) = 0
((3 * 3ln + 2x * 3ln)) + -1(2ln(2x + -1)) = 0
((9ln + 6lnx)) + -1(2ln(2x + -1)) = 0
(9ln + 6lnx) + -1(2ln(2x + -1)) = 0

Remove parenthesis around (9ln + 6lnx)
9ln + 6lnx + -1(2ln(2x + -1)) = 0

Reorder the terms:
9ln + 6lnx + -1(2ln(-1 + 2x)) = 0
9ln + 6lnx + -1((-1 * 2ln + 2x * 2ln)) = 0
9ln + 6lnx + -1((-2ln + 4lnx)) = 0
9ln + 6lnx + (-2ln * -1 + 4lnx * -1) = 0
9ln + 6lnx + (2ln + -4lnx) = 0

Reorder the terms:
9ln + 2ln + 6lnx + -4lnx = 0

Combine like terms: 9ln + 2ln = 11ln
11ln + 6lnx + -4lnx = 0

Combine like terms: 6lnx + -4lnx = 2lnx
11ln + 2lnx = 0

Solving
11ln + 2lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(11 + 2x) = 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 '(11 + 2x)' equal to zero and attempt to solve:

Simplifying
11 + 2x = 0

Solving
11 + 2x = 0

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

Add '-11' to each side of the equation.
11 + -11 + 2x = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 2x = 0 + -11
2x = 0 + -11

Combine like terms: 0 + -11 = -11
2x = -11

Add '-2x' to each side of the equation.
2x + -2x = -11 + -2x

Combine like terms: 2x + -2x = 0
0 = -11 + -2x

Simplifying
0 = -11 + -2x

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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