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

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

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

Multiply ln * x
lnx = ln(3) + ln(x + -2)

Reorder the terms for easier multiplication:
lnx = 3ln + ln(x + -2)

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

Combine like terms: 3ln + -2ln = 1ln
lnx = 1ln + lnx

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

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

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

Solving
0 = 1ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
0 + -1ln = 1ln + -1ln
Remove the zero:
-1ln = 1ln + -1ln

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

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.