ln(x-2)+ln(x+9)=ln(x-1)+ln(x+14)

Solution for ln(x-2)+ln(x+9)=ln(x-1)+ln(x+14) equation:

Simplifying
ln(x + -2) + ln(x + 9) = ln(x + -1) + ln(x + 14)

Reorder the terms:
ln(-2 + x) + ln(x + 9) = ln(x + -1) + ln(x + 14)
(-2 * ln + x * ln) + ln(x + 9) = ln(x + -1) + ln(x + 14)
(-2ln + lnx) + ln(x + 9) = ln(x + -1) + ln(x + 14)

Reorder the terms:
-2ln + lnx + ln(9 + x) = ln(x + -1) + ln(x + 14)
-2ln + lnx + (9 * ln + x * ln) = ln(x + -1) + ln(x + 14)
-2ln + lnx + (9ln + lnx) = ln(x + -1) + ln(x + 14)

Reorder the terms:
-2ln + 9ln + lnx + lnx = ln(x + -1) + ln(x + 14)

Combine like terms: -2ln + 9ln = 7ln
7ln + lnx + lnx = ln(x + -1) + ln(x + 14)

Combine like terms: lnx + lnx = 2lnx
7ln + 2lnx = ln(x + -1) + ln(x + 14)

Reorder the terms:
7ln + 2lnx = ln(-1 + x) + ln(x + 14)
7ln + 2lnx = (-1 * ln + x * ln) + ln(x + 14)
7ln + 2lnx = (-1ln + lnx) + ln(x + 14)

Reorder the terms:
7ln + 2lnx = -1ln + lnx + ln(14 + x)
7ln + 2lnx = -1ln + lnx + (14 * ln + x * ln)
7ln + 2lnx = -1ln + lnx + (14ln + lnx)

Reorder the terms:
7ln + 2lnx = -1ln + 14ln + lnx + lnx

Combine like terms: -1ln + 14ln = 13ln
7ln + 2lnx = 13ln + lnx + lnx

Combine like terms: lnx + lnx = 2lnx
7ln + 2lnx = 13ln + 2lnx

Add '-2lnx' to each side of the equation.
7ln + 2lnx + -2lnx = 13ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
7ln + 0 = 13ln + 2lnx + -2lnx
7ln = 13ln + 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
7ln = 13ln + 0
7ln = 13ln

Solving
7ln = 13ln

Solving for variable 'l'.

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

Add '-13ln' to each side of the equation.
7ln + -13ln = 13ln + -13ln

Combine like terms: 7ln + -13ln = -6ln
-6ln = 13ln + -13ln

Combine like terms: 13ln + -13ln = 0
-6ln = 0

Divide each side by '-6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.