ln(x-3)+ln(x-2)=2x+24

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Solution for ln(x-3)+ln(x-2)=2x+24 equation:


Simplifying
ln(x + -3) + ln(x + -2) = 2x + 24

Reorder the terms:
ln(-3 + x) + ln(x + -2) = 2x + 24
(-3 * ln + x * ln) + ln(x + -2) = 2x + 24
(-3ln + lnx) + ln(x + -2) = 2x + 24

Reorder the terms:
-3ln + lnx + ln(-2 + x) = 2x + 24
-3ln + lnx + (-2 * ln + x * ln) = 2x + 24
-3ln + lnx + (-2ln + lnx) = 2x + 24

Reorder the terms:
-3ln + -2ln + lnx + lnx = 2x + 24

Combine like terms: -3ln + -2ln = -5ln
-5ln + lnx + lnx = 2x + 24

Combine like terms: lnx + lnx = 2lnx
-5ln + 2lnx = 2x + 24

Reorder the terms:
-5ln + 2lnx = 24 + 2x

Solving
-5ln + 2lnx = 24 + 2x

Solving for variable 'l'.

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

Reorder the terms:
-24 + -5ln + 2lnx + -2x = 24 + 2x + -24 + -2x

Reorder the terms:
-24 + -5ln + 2lnx + -2x = 24 + -24 + 2x + -2x

Combine like terms: 24 + -24 = 0
-24 + -5ln + 2lnx + -2x = 0 + 2x + -2x
-24 + -5ln + 2lnx + -2x = 2x + -2x

Combine like terms: 2x + -2x = 0
-24 + -5ln + 2lnx + -2x = 0

The solution to this equation could not be determined.

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