Ln(x^2-4)=ln(12)

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Solution for Ln(x^2-4)=ln(12) equation: 


Simplifying
Ln(x2 + -4) = ln(12)

Reorder the terms:
nL(-4 + x2) = ln(12)
(-4 * nL + x2 * nL) = ln(12)
(-4nL + nx2L) = ln(12)

Reorder the terms for easier multiplication:
-4nL + nx2L = 12ln

Solving
-4nL + nx2L = 12ln

Solving for variable 'n'.

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

Add '-12ln' to each side of the equation.
-4nL + -12ln + nx2L = 12ln + -12ln

Reorder the terms:
-12ln + -4nL + nx2L = 12ln + -12ln

Combine like terms: 12ln + -12ln = 0
-12ln + -4nL + nx2L = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-12l + -4L + x2L) = 0


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(-12l + -4L + x2L)' equal to zero and attempt to solve:

Simplifying
-12l + -4L + x2L = 0

Reorder the terms:
-4L + -12l + x2L = 0

Solving
-4L + -12l + x2L = 0

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

Add '4L' to each side of the equation.
-4L + -12l + 4L + x2L = 0 + 4L

Reorder the terms:
-4L + 4L + -12l + x2L = 0 + 4L

Combine like terms: -4L + 4L = 0
0 + -12l + x2L = 0 + 4L
-12l + x2L = 0 + 4L
Remove the zero:
-12l + x2L = 4L

Add '12l' to each side of the equation.
-12l + 12l + x2L = 4L + 12l

Combine like terms: -12l + 12l = 0
0 + x2L = 4L + 12l
x2L = 4L + 12l

Add '-1x2L' to each side of the equation.
x2L + -1x2L = 4L + 12l + -1x2L

Combine like terms: x2L + -1x2L = 0
0 = 4L + 12l + -1x2L

Simplifying
0 = 4L + 12l + -1x2L

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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