ln(x+3)+ln(x-3)-ln(x^2-9)=

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Solution for ln(x+3)+ln(x-3)-ln(x^2-9)= equation: 


Simplifying
ln(x + 3) + ln(x + -3) + -1ln(x2 + -9) = 0

Reorder the terms:
ln(3 + x) + ln(x + -3) + -1ln(x2 + -9) = 0
(3 * ln + x * ln) + ln(x + -3) + -1ln(x2 + -9) = 0
(3ln + lnx) + ln(x + -3) + -1ln(x2 + -9) = 0

Reorder the terms:
3ln + lnx + ln(-3 + x) + -1ln(x2 + -9) = 0
3ln + lnx + (-3 * ln + x * ln) + -1ln(x2 + -9) = 0
3ln + lnx + (-3ln + lnx) + -1ln(x2 + -9) = 0

Reorder the terms:
3ln + lnx + -3ln + lnx + -1ln(-9 + x2) = 0
3ln + lnx + -3ln + lnx + (-9 * -1ln + x2 * -1ln) = 0
3ln + lnx + -3ln + lnx + (9ln + -1lnx2) = 0

Reorder the terms:
3ln + -3ln + 9ln + lnx + lnx + -1lnx2 = 0

Combine like terms: 3ln + -3ln = 0
0 + 9ln + lnx + lnx + -1lnx2 = 0
9ln + lnx + lnx + -1lnx2 = 0

Combine like terms: lnx + lnx = 2lnx
9ln + 2lnx + -1lnx2 = 0

Solving
9ln + 2lnx + -1lnx2 = 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(9 + 2x + -1x2) = 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 '(9 + 2x + -1x2)' equal to zero and attempt to solve:

Simplifying
9 + 2x + -1x2 = 0

Solving
9 + 2x + -1x2 = 0

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

Add '-9' to each side of the equation.
9 + 2x + -9 + -1x2 = 0 + -9

Reorder the terms:
9 + -9 + 2x + -1x2 = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x + -1x2 = 0 + -9
2x + -1x2 = 0 + -9

Combine like terms: 0 + -9 = -9
2x + -1x2 = -9

Add '-2x' to each side of the equation.
2x + -2x + -1x2 = -9 + -2x

Combine like terms: 2x + -2x = 0
0 + -1x2 = -9 + -2x
-1x2 = -9 + -2x

Add 'x2' to each side of the equation.
-1x2 + x2 = -9 + -2x + x2

Combine like terms: -1x2 + x2 = 0
0 = -9 + -2x + x2

Simplifying
0 = -9 + -2x + x2

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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