ln(-5n-5)=ln(-4n-3)

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Solution for ln(-5n-5)=ln(-4n-3) equation:


Simplifying
ln(-5n + -5) = ln(-4n + -3)

Reorder the terms:
ln(-5 + -5n) = ln(-4n + -3)
(-5 * ln + -5n * ln) = ln(-4n + -3)
(-5ln + -5ln2) = ln(-4n + -3)

Reorder the terms:
-5ln + -5ln2 = ln(-3 + -4n)
-5ln + -5ln2 = (-3 * ln + -4n * ln)
-5ln + -5ln2 = (-3ln + -4ln2)

Solving
-5ln + -5ln2 = -3ln + -4ln2

Solving for variable 'l'.

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

Add '3ln' to each side of the equation.
-5ln + 3ln + -5ln2 = -3ln + 3ln + -4ln2

Combine like terms: -5ln + 3ln = -2ln
-2ln + -5ln2 = -3ln + 3ln + -4ln2

Combine like terms: -3ln + 3ln = 0
-2ln + -5ln2 = 0 + -4ln2
-2ln + -5ln2 = -4ln2

Add '4ln2' to each side of the equation.
-2ln + -5ln2 + 4ln2 = -4ln2 + 4ln2

Combine like terms: -5ln2 + 4ln2 = -1ln2
-2ln + -1ln2 = -4ln2 + 4ln2

Combine like terms: -4ln2 + 4ln2 = 0
-2ln + -1ln2 = 0

Factor out the Greatest Common Factor (GCF), '-1ln'.
-1ln(2 + n) = 0

Ignore the factor -1.

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 '(2 + n)' equal to zero and attempt to solve: Simplifying 2 + n = 0 Solving 2 + n = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + n = 0 + -2 Combine like terms: 2 + -2 = 0 0 + n = 0 + -2 n = 0 + -2 Combine like terms: 0 + -2 = -2 n = -2 Add '-1n' to each side of the equation. n + -1n = -2 + -1n Combine like terms: n + -1n = 0 0 = -2 + -1n Simplifying 0 = -2 + -1n 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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