ln(x-2)-ln(3)-1=2

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Solution for ln(x-2)-ln(3)-1=2 equation:


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

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

Reorder the terms for easier multiplication:
-2ln + lnx + -1 * 3ln + -1 = 2

Multiply -1 * 3
-2ln + lnx + -3ln + -1 = 2

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

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

Solving
-1 + -5ln + lnx = 2

Solving for variable 'l'.

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

Add '1' to each side of the equation.
-1 + -5ln + 1 + lnx = 2 + 1

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

Combine like terms: -1 + 1 = 0
0 + -5ln + lnx = 2 + 1
-5ln + lnx = 2 + 1

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

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

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

The solution to this equation could not be determined.

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