ln(x^2+6)-ln(8)=

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Solution for ln(x^2+6)-ln(8)= equation: 


Simplifying
ln(x2 + 6) + -1ln(8) = 0

Reorder the terms:
ln(6 + x2) + -1ln(8) = 0
(6 * ln + x2 * ln) + -1ln(8) = 0
(6ln + lnx2) + -1ln(8) = 0

Reorder the terms for easier multiplication:
6ln + lnx2 + -1 * 8ln = 0

Multiply -1 * 8
6ln + lnx2 + -8ln = 0

Reorder the terms:
6ln + -8ln + lnx2 = 0

Combine like terms: 6ln + -8ln = -2ln
-2ln + lnx2 = 0

Solving
-2ln + lnx2 = 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(-2 + x2) = 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 '(-2 + x2)' equal to zero and attempt to solve:

Simplifying
-2 + x2 = 0

Solving
-2 + x2 = 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 + x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x2 = 0 + 2
x2 = 0 + 2

Combine like terms: 0 + 2 = 2
x2 = 2

Add '-1x2' to each side of the equation.
x2 + -1x2 = 2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 2 + -1x2

Simplifying
0 = 2 + -1x2

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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