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

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


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

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

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

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

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

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

Solving
7ln + 5lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + 7ln + 5lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 7ln + 5lnx = 0

The solution to this equation could not be determined.

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