ln(x-3)+ln(x-2)=ln(2(x+12))

Solution for ln(x-3)+ln(x-2)=ln(2(x+12)) equation:

Simplifying
ln(x + -3) + ln(x + -2) = ln(2(x + 12))

Reorder the terms:
ln(-3 + x) + ln(x + -2) = ln(2(x + 12))
(-3 * ln + x * ln) + ln(x + -2) = ln(2(x + 12))
(-3ln + lnx) + ln(x + -2) = ln(2(x + 12))

Reorder the terms:
-3ln + lnx + ln(-2 + x) = ln(2(x + 12))
-3ln + lnx + (-2 * ln + x * ln) = ln(2(x + 12))
-3ln + lnx + (-2ln + lnx) = ln(2(x + 12))

Reorder the terms:
-3ln + -2ln + lnx + lnx = ln(2(x + 12))

Combine like terms: -3ln + -2ln = -5ln
-5ln + lnx + lnx = ln(2(x + 12))

Combine like terms: lnx + lnx = 2lnx
-5ln + 2lnx = ln(2(x + 12))

Reorder the terms:
-5ln + 2lnx = ln(2(12 + x))
-5ln + 2lnx = ln((12 * 2 + x * 2))
-5ln + 2lnx = ln((24 + 2x))
-5ln + 2lnx = (24 * ln + 2x * ln)
-5ln + 2lnx = (24ln + 2lnx)

Add '-2lnx' to each side of the equation.
-5ln + 2lnx + -2lnx = 24ln + 2lnx + -2lnx

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

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

Solving
-5ln = 24ln

Solving for variable 'l'.

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

Add '-24ln' to each side of the equation.
-5ln + -24ln = 24ln + -24ln

Combine like terms: -5ln + -24ln = -29ln
-29ln = 24ln + -24ln

Combine like terms: 24ln + -24ln = 0
-29ln = 0

Divide each side by '-29'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.