ln(6x)-ln(x-2)=3

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Solution for ln(6x)-ln(x-2)=3 equation:


Simplifying
ln(6x) + -1ln(x + -2) = 3

Remove parenthesis around (6x)
ln * 6x + -1ln(x + -2) = 3

Reorder the terms for easier multiplication:
6ln * x + -1ln(x + -2) = 3

Multiply ln * x
6lnx + -1ln(x + -2) = 3

Reorder the terms:
6lnx + -1ln(-2 + x) = 3
6lnx + (-2 * -1ln + x * -1ln) = 3
6lnx + (2ln + -1lnx) = 3

Reorder the terms:
2ln + 6lnx + -1lnx = 3

Combine like terms: 6lnx + -1lnx = 5lnx
2ln + 5lnx = 3

Solving
2ln + 5lnx = 3

Solving for variable 'l'.

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

Reorder the terms:
-3 + 2ln + 5lnx = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 2ln + 5lnx = 0

The solution to this equation could not be determined.

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