ln(x+2)+ln(x+3)=ln(x+5)

Solution for ln(x+2)+ln(x+3)=ln(x+5) equation:

Simplifying
ln(x + 2) + ln(x + 3) = ln(x + 5)

Reorder the terms:
ln(2 + x) + ln(x + 3) = ln(x + 5)
(2 * ln + x * ln) + ln(x + 3) = ln(x + 5)
(2ln + lnx) + ln(x + 3) = ln(x + 5)

Reorder the terms:
2ln + lnx + ln(3 + x) = ln(x + 5)
2ln + lnx + (3 * ln + x * ln) = ln(x + 5)
2ln + lnx + (3ln + lnx) = ln(x + 5)

Reorder the terms:
2ln + 3ln + lnx + lnx = ln(x + 5)

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

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

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

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

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

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

Solving
2lnx = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
2lnx + -1lnx = lnx + -1lnx

Combine like terms: 2lnx + -1lnx = 1lnx
1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
1lnx = 0

Divide each side by '1'.
lnx = 0

Simplifying
lnx = 0

The solution to this equation could not be determined.