ln(x+6)-ln(2x-1)=1

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Solution for ln(x+6)-ln(2x-1)=1 equation: 


Simplifying
ln(x + 6) + -1ln(2x + -1) = 1

Reorder the terms:
ln(6 + x) + -1ln(2x + -1) = 1
(6 * ln + x * ln) + -1ln(2x + -1) = 1
(6ln + lnx) + -1ln(2x + -1) = 1

Reorder the terms:
6ln + lnx + -1ln(-1 + 2x) = 1
6ln + lnx + (-1 * -1ln + 2x * -1ln) = 1
6ln + lnx + (1ln + -2lnx) = 1

Reorder the terms:
6ln + 1ln + lnx + -2lnx = 1

Combine like terms: 6ln + 1ln = 7ln
7ln + lnx + -2lnx = 1

Combine like terms: lnx + -2lnx = -1lnx
7ln + -1lnx = 1

Solving
7ln + -1lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 7ln + -1lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 7ln + -1lnx = 0

The solution to this equation could not be determined.

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