3ln(x+4)-4ln(x-1)=

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Solution for 3ln(x+4)-4ln(x-1)= equation: 


Simplifying
3ln(x + 4) + -4ln(x + -1) = 0

Reorder the terms:
3ln(4 + x) + -4ln(x + -1) = 0
(4 * 3ln + x * 3ln) + -4ln(x + -1) = 0
(12ln + 3lnx) + -4ln(x + -1) = 0

Reorder the terms:
12ln + 3lnx + -4ln(-1 + x) = 0
12ln + 3lnx + (-1 * -4ln + x * -4ln) = 0
12ln + 3lnx + (4ln + -4lnx) = 0

Reorder the terms:
12ln + 4ln + 3lnx + -4lnx = 0

Combine like terms: 12ln + 4ln = 16ln
16ln + 3lnx + -4lnx = 0

Combine like terms: 3lnx + -4lnx = -1lnx
16ln + -1lnx = 0

Solving
16ln + -1lnx = 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(16 + -1x) = 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 '(16 + -1x)' equal to zero and attempt to solve:

Simplifying
16 + -1x = 0

Solving
16 + -1x = 0

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

Add '-16' to each side of the equation.
16 + -16 + -1x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -1x = 0 + -16
-1x = 0 + -16

Combine like terms: 0 + -16 = -16
-1x = -16

Add 'x' to each side of the equation.
-1x + x = -16 + x

Combine like terms: -1x + x = 0
0 = -16 + x

Simplifying
0 = -16 + x

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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