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

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

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

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

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

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

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

Reorder the terms for easier multiplication:
lnx = 3ln

Solving
lnx = 3ln

Solving for variable 'l'.

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-3 + x) = 0

Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve:

Simplifying
ln = 0

Solving
ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Subproblem 2
Set the factor '(-3 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

Solving
-3 + x = 0

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

Add '3' to each side of the equation.
-3 + 3 + x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + x = 0 + 3
x = 0 + 3

Combine like terms: 0 + 3 = 3
x = 3

Add '-1x' to each side of the equation.
x + -1x = 3 + -1x

Combine like terms: x + -1x = 0
0 = 3 + -1x

Simplifying
0 = 3 + -1x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.