ln(x-4)-ln(x+1)=-2

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Solution for ln(x-4)-ln(x+1)=-2 equation: 


Simplifying
ln(x + -4) + -1ln(x + 1) = -2

Reorder the terms:
ln(-4 + x) + -1ln(x + 1) = -2
(-4 * ln + x * ln) + -1ln(x + 1) = -2
(-4ln + lnx) + -1ln(x + 1) = -2

Reorder the terms:
-4ln + lnx + -1ln(1 + x) = -2
-4ln + lnx + (1 * -1ln + x * -1ln) = -2
-4ln + lnx + (-1ln + -1lnx) = -2

Reorder the terms:
-4ln + -1ln + lnx + -1lnx = -2

Combine like terms: -4ln + -1ln = -5ln
-5ln + lnx + -1lnx = -2

Combine like terms: lnx + -1lnx = 0
-5ln + 0 = -2
-5ln = -2

Solving
-5ln = -2

Solving for variable 'l'.

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

Divide each side by '-5n'.
l = 0.4n-1

Simplifying
l = 0.4n-1

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