ln(x+2)+ln(x-2)-ln(3x)=0

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Solution for ln(x+2)+ln(x-2)-ln(3x)=0 equation:


Simplifying
ln(x + 2) + ln(x + -2) + -1ln(3x) = 0

Reorder the terms:
ln(2 + x) + ln(x + -2) + -1ln(3x) = 0
(2 * ln + x * ln) + ln(x + -2) + -1ln(3x) = 0
(2ln + lnx) + ln(x + -2) + -1ln(3x) = 0

Reorder the terms:
2ln + lnx + ln(-2 + x) + -1ln(3x) = 0
2ln + lnx + (-2 * ln + x * ln) + -1ln(3x) = 0
2ln + lnx + (-2ln + lnx) + -1ln(3x) = 0

Remove parenthesis around (3x)
2ln + lnx + -2ln + lnx + -1ln * 3x = 0

Reorder the terms for easier multiplication:
2ln + lnx + -2ln + lnx + -1 * 3ln * x = 0

Multiply -1 * 3
2ln + lnx + -2ln + lnx + -3ln * x = 0

Multiply ln * x
2ln + lnx + -2ln + lnx + -3lnx = 0

Reorder the terms:
2ln + -2ln + lnx + lnx + -3lnx = 0

Combine like terms: 2ln + -2ln = 0
0 + lnx + lnx + -3lnx = 0
lnx + lnx + -3lnx = 0

Combine like terms: lnx + lnx = 2lnx
2lnx + -3lnx = 0

Combine like terms: 2lnx + -3lnx = -1lnx
-1lnx = 0

Solving
-1lnx = 0

Solving for variable 'l'.

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

Divide each side by '-1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.

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