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

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


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

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

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

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

Combine like terms: -2ln + -3ln = -5ln
-5ln + lnx + lnx = (3x + 2)

Combine like terms: lnx + lnx = 2lnx
-5ln + 2lnx = (3x + 2)

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

Remove parenthesis around (2 + 3x)
-5ln + 2lnx = 2 + 3x

Solving
-5ln + 2lnx = 2 + 3x

Solving for variable 'l'.

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

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

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

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

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

The solution to this equation could not be determined.

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