4ln(x+2)+3ln(4x+9)=

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Solution for 4ln(x+2)+3ln(4x+9)= equation: 


Simplifying
4ln(x + 2) + 3ln(4x + 9) = 0

Reorder the terms:
4ln(2 + x) + 3ln(4x + 9) = 0
(2 * 4ln + x * 4ln) + 3ln(4x + 9) = 0
(8ln + 4lnx) + 3ln(4x + 9) = 0

Reorder the terms:
8ln + 4lnx + 3ln(9 + 4x) = 0
8ln + 4lnx + (9 * 3ln + 4x * 3ln) = 0
8ln + 4lnx + (27ln + 12lnx) = 0

Reorder the terms:
8ln + 27ln + 4lnx + 12lnx = 0

Combine like terms: 8ln + 27ln = 35ln
35ln + 4lnx + 12lnx = 0

Combine like terms: 4lnx + 12lnx = 16lnx
35ln + 16lnx = 0

Solving
35ln + 16lnx = 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(35 + 16x) = 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 '(35 + 16x)' equal to zero and attempt to solve:

Simplifying
35 + 16x = 0

Solving
35 + 16x = 0

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

Add '-35' to each side of the equation.
35 + -35 + 16x = 0 + -35

Combine like terms: 35 + -35 = 0
0 + 16x = 0 + -35
16x = 0 + -35

Combine like terms: 0 + -35 = -35
16x = -35

Add '-16x' to each side of the equation.
16x + -16x = -35 + -16x

Combine like terms: 16x + -16x = 0
0 = -35 + -16x

Simplifying
0 = -35 + -16x

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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