ln(3+x)+ln(6-x)=ln(15)

Solution for ln(3+x)+ln(6-x)=ln(15) equation:

Simplifying
ln(3 + x) + ln(6 + -1x) = ln(15)
(3 * ln + x * ln) + ln(6 + -1x) = ln(15)
(3ln + lnx) + ln(6 + -1x) = ln(15)
3ln + lnx + (6 * ln + -1x * ln) = ln(15)
3ln + lnx + (6ln + -1lnx) = ln(15)

Reorder the terms:
3ln + 6ln + lnx + -1lnx = ln(15)

Combine like terms: 3ln + 6ln = 9ln
9ln + lnx + -1lnx = ln(15)

Combine like terms: lnx + -1lnx = 0
9ln + 0 = ln(15)
9ln = ln(15)

Reorder the terms for easier multiplication:
9ln = 15ln

Solving
9ln = 15ln

Solving for variable 'l'.

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

Add '-15ln' to each side of the equation.
9ln + -15ln = 15ln + -15ln

Combine like terms: 9ln + -15ln = -6ln
-6ln = 15ln + -15ln

Combine like terms: 15ln + -15ln = 0
-6ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.