ln(y)=3+ln(y-2)

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

Simplifying
ln(y) = 3 + ln(y + -2)

Multiply ln * y
lny = 3 + ln(y + -2)

Reorder the terms:
lny = 3 + ln(-2 + y)
lny = 3 + (-2 * ln + y * ln)
lny = 3 + (-2ln + lny)

Add '-1lny' to each side of the equation.
lny + -1lny = 3 + -2ln + lny + -1lny

Combine like terms: lny + -1lny = 0
0 = 3 + -2ln + lny + -1lny

Combine like terms: lny + -1lny = 0
0 = 3 + -2ln + 0
0 = 3 + -2ln

Solving
0 = 3 + -2ln

Solving for variable 'l'.

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

Add '2ln' to each side of the equation.
0 + 2ln = 3 + -2ln + 2ln
Remove the zero:
2ln = 3 + -2ln + 2ln

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

Divide each side by '2n'.
l = 1.5n-1

Simplifying
l = 1.5n-1