ln(x+6)-ln(x+5)=1

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Solution for ln(x+6)-ln(x+5)=1 equation:


Simplifying
ln(x + 6) + -1ln(x + 5) = 1

Reorder the terms:
ln(6 + x) + -1ln(x + 5) = 1
(6 * ln + x * ln) + -1ln(x + 5) = 1
(6ln + lnx) + -1ln(x + 5) = 1

Reorder the terms:
6ln + lnx + -1ln(5 + x) = 1
6ln + lnx + (5 * -1ln + x * -1ln) = 1
6ln + lnx + (-5ln + -1lnx) = 1

Reorder the terms:
6ln + -5ln + lnx + -1lnx = 1

Combine like terms: 6ln + -5ln = 1ln
1ln + lnx + -1lnx = 1

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

Solving
1ln = 1

Solving for variable 'l'.

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

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

Simplifying
l = n-1

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