ln(x+1)-ln(x-3)=1.2

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Solution for ln(x+1)-ln(x-3)=1.2 equation:


Simplifying
ln(x + 1) + -1ln(x + -3) = 1.2

Reorder the terms:
ln(1 + x) + -1ln(x + -3) = 1.2
(1 * ln + x * ln) + -1ln(x + -3) = 1.2
(1ln + lnx) + -1ln(x + -3) = 1.2

Reorder the terms:
1ln + lnx + -1ln(-3 + x) = 1.2
1ln + lnx + (-3 * -1ln + x * -1ln) = 1.2
1ln + lnx + (3ln + -1lnx) = 1.2

Reorder the terms:
1ln + 3ln + lnx + -1lnx = 1.2

Combine like terms: 1ln + 3ln = 4ln
4ln + lnx + -1lnx = 1.2

Combine like terms: lnx + -1lnx = 0
4ln + 0 = 1.2
4ln = 1.2

Solving
4ln = 1.2

Solving for variable 'l'.

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

Divide each side by '4n'.
l = 0.3n-1

Simplifying
l = 0.3n-1

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