ln(2x+1)-ln(x-5)=1

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Solution for ln(2x+1)-ln(x-5)=1 equation: 


Simplifying
ln(2x + 1) + -1ln(x + -5) = 1

Reorder the terms:
ln(1 + 2x) + -1ln(x + -5) = 1
(1 * ln + 2x * ln) + -1ln(x + -5) = 1
(1ln + 2lnx) + -1ln(x + -5) = 1

Reorder the terms:
1ln + 2lnx + -1ln(-5 + x) = 1
1ln + 2lnx + (-5 * -1ln + x * -1ln) = 1
1ln + 2lnx + (5ln + -1lnx) = 1

Reorder the terms:
1ln + 5ln + 2lnx + -1lnx = 1

Combine like terms: 1ln + 5ln = 6ln
6ln + 2lnx + -1lnx = 1

Combine like terms: 2lnx + -1lnx = 1lnx
6ln + 1lnx = 1

Solving
6ln + 1lnx = 1

Solving for variable 'l'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 6ln + 1lnx = 0

The solution to this equation could not be determined.

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