ln(x+8)+ln(x-5)=2ln(x)

Solution for ln(x+8)+ln(x-5)=2ln(x) equation:

Simplifying
ln(x + 8) + ln(x + -5) = 2ln(x)

Reorder the terms:
ln(8 + x) + ln(x + -5) = 2ln(x)
(8 * ln + x * ln) + ln(x + -5) = 2ln(x)
(8ln + lnx) + ln(x + -5) = 2ln(x)

Reorder the terms:
8ln + lnx + ln(-5 + x) = 2ln(x)
8ln + lnx + (-5 * ln + x * ln) = 2ln(x)
8ln + lnx + (-5ln + lnx) = 2ln(x)

Reorder the terms:
8ln + -5ln + lnx + lnx = 2ln(x)

Combine like terms: 8ln + -5ln = 3ln
3ln + lnx + lnx = 2ln(x)

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

Multiply ln * x
3ln + 2lnx = 2lnx

Add '-2lnx' to each side of the equation.
3ln + 2lnx + -2lnx = 2lnx + -2lnx

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

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

Solving
3ln = 0

Solving for variable 'l'.

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

Divide each side by '3'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.