4lnx-3ln(x+1)+2ln(x+4)=0

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Solution for 4lnx-3ln(x+1)+2ln(x+4)=0 equation:


Simplifying
4lnx + -3ln(x + 1) + 2ln(x + 4) = 0

Reorder the terms:
4lnx + -3ln(1 + x) + 2ln(x + 4) = 0
4lnx + (1 * -3ln + x * -3ln) + 2ln(x + 4) = 0
4lnx + (-3ln + -3lnx) + 2ln(x + 4) = 0

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

Reorder the terms:
-3ln + 8ln + 4lnx + -3lnx + 2lnx = 0

Combine like terms: -3ln + 8ln = 5ln
5ln + 4lnx + -3lnx + 2lnx = 0

Combine like terms: 4lnx + -3lnx = 1lnx
5ln + 1lnx + 2lnx = 0

Combine like terms: 1lnx + 2lnx = 3lnx
5ln + 3lnx = 0

Solving
5ln + 3lnx = 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(5 + 3x) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Add '-3x' to each side of the equation. 3x + -3x = -5 + -3x Combine like terms: 3x + -3x = 0 0 = -5 + -3x Simplifying 0 = -5 + -3x 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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