ln(x+6)+ln(x-2)=2lnx

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


Simplifying
ln(x + 6) + ln(x + -2) = 2lnx

Reorder the terms:
ln(6 + x) + ln(x + -2) = 2lnx
(6 * ln + x * ln) + ln(x + -2) = 2lnx
(6ln + lnx) + ln(x + -2) = 2lnx

Reorder the terms:
6ln + lnx + ln(-2 + x) = 2lnx
6ln + lnx + (-2 * ln + x * ln) = 2lnx
6ln + lnx + (-2ln + lnx) = 2lnx

Reorder the terms:
6ln + -2ln + lnx + lnx = 2lnx

Combine like terms: 6ln + -2ln = 4ln
4ln + lnx + lnx = 2lnx

Combine like terms: lnx + lnx = 2lnx
4ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
4ln + 2lnx + -2lnx = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4ln + 0 = 2lnx + -2lnx
4ln = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
4ln = 0

Solving
4ln = 0

Solving for variable 'l'.

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

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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