ln(x-1)-ln(x+3)=ln(11)

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Solution for ln(x-1)-ln(x+3)=ln(11) equation:


Simplifying
ln(x + -1) + -1ln(x + 3) = ln(11)

Reorder the terms:
ln(-1 + x) + -1ln(x + 3) = ln(11)
(-1 * ln + x * ln) + -1ln(x + 3) = ln(11)
(-1ln + lnx) + -1ln(x + 3) = ln(11)

Reorder the terms:
-1ln + lnx + -1ln(3 + x) = ln(11)
-1ln + lnx + (3 * -1ln + x * -1ln) = ln(11)
-1ln + lnx + (-3ln + -1lnx) = ln(11)

Reorder the terms:
-1ln + -3ln + lnx + -1lnx = ln(11)

Combine like terms: -1ln + -3ln = -4ln
-4ln + lnx + -1lnx = ln(11)

Combine like terms: lnx + -1lnx = 0
-4ln + 0 = ln(11)
-4ln = ln(11)

Reorder the terms for easier multiplication:
-4ln = 11ln

Solving
-4ln = 11ln

Solving for variable 'l'.

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

Add '-11ln' to each side of the equation.
-4ln + -11ln = 11ln + -11ln

Combine like terms: -4ln + -11ln = -15ln
-15ln = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
-15ln = 0

Divide each side by '-15'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.

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