ln(6x+5)-ln(x-2)=1

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Solution for ln(6x+5)-ln(x-2)=1 equation:


Simplifying
ln(6x + 5) + -1ln(x + -2) = 1

Reorder the terms:
ln(5 + 6x) + -1ln(x + -2) = 1
(5 * ln + 6x * ln) + -1ln(x + -2) = 1
(5ln + 6lnx) + -1ln(x + -2) = 1

Reorder the terms:
5ln + 6lnx + -1ln(-2 + x) = 1
5ln + 6lnx + (-2 * -1ln + x * -1ln) = 1
5ln + 6lnx + (2ln + -1lnx) = 1

Reorder the terms:
5ln + 2ln + 6lnx + -1lnx = 1

Combine like terms: 5ln + 2ln = 7ln
7ln + 6lnx + -1lnx = 1

Combine like terms: 6lnx + -1lnx = 5lnx
7ln + 5lnx = 1

Solving
7ln + 5lnx = 1

Solving for variable 'l'.

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

Reorder the terms:
-1 + 7ln + 5lnx = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 7ln + 5lnx = 0

The solution to this equation could not be determined.

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