ln(n^2+12)=ln(-9-2)

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Solution for ln(n^2+12)=ln(-9-2) equation: 


Simplifying
ln(n2 + 12) = ln(-9 + -2)

Reorder the terms:
ln(12 + n2) = ln(-9 + -2)
(12 * ln + n2 * ln) = ln(-9 + -2)
(12ln + ln3) = ln(-9 + -2)

Combine like terms: -9 + -2 = -11
12ln + ln3 = ln(-11)

Reorder the terms for easier multiplication:
12ln + ln3 = -11ln

Solving
12ln + ln3 = -11ln

Solving for variable 'l'.

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

Add '11ln' to each side of the equation.
12ln + 11ln + ln3 = -11ln + 11ln

Combine like terms: 12ln + 11ln = 23ln
23ln + ln3 = -11ln + 11ln

Combine like terms: -11ln + 11ln = 0
23ln + ln3 = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(23 + n2) = 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 '(23 + n2)' equal to zero and attempt to solve:

Simplifying
23 + n2 = 0

Solving
23 + n2 = 0

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

Add '-23' to each side of the equation.
23 + -23 + n2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + n2 = 0 + -23
n2 = 0 + -23

Combine like terms: 0 + -23 = -23
n2 = -23

Add '-1n2' to each side of the equation.
n2 + -1n2 = -23 + -1n2

Combine like terms: n2 + -1n2 = 0
0 = -23 + -1n2

Simplifying
0 = -23 + -1n2

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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