ln(x+8)-ln(x-8)=ln(3)

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Solution for ln(x+8)-ln(x-8)=ln(3) equation:


Simplifying
ln(x + 8) + -1ln(x + -8) = ln(3)

Reorder the terms:
ln(8 + x) + -1ln(x + -8) = ln(3)
(8 * ln + x * ln) + -1ln(x + -8) = ln(3)
(8ln + lnx) + -1ln(x + -8) = ln(3)

Reorder the terms:
8ln + lnx + -1ln(-8 + x) = ln(3)
8ln + lnx + (-8 * -1ln + x * -1ln) = ln(3)
8ln + lnx + (8ln + -1lnx) = ln(3)

Reorder the terms:
8ln + 8ln + lnx + -1lnx = ln(3)

Combine like terms: 8ln + 8ln = 16ln
16ln + lnx + -1lnx = ln(3)

Combine like terms: lnx + -1lnx = 0
16ln + 0 = ln(3)
16ln = ln(3)

Reorder the terms for easier multiplication:
16ln = 3ln

Solving
16ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
16ln + -3ln = 3ln + -3ln

Combine like terms: 16ln + -3ln = 13ln
13ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
13ln = 0

Divide each side by '13'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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