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

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


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

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

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

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

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

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

Solving
-2ln = 1

Solving for variable 'l'.

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

Divide each side by '-2n'.
l = -0.5n-1

Simplifying
l = -0.5n-1

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