ln(x+2)-ln(18)=ln(16)

Solution for ln(x+2)-ln(18)=ln(16) equation:

Simplifying
ln(x + 2) + -1ln(18) = ln(16)

Reorder the terms:
ln(2 + x) + -1ln(18) = ln(16)
(2 * ln + x * ln) + -1ln(18) = ln(16)
(2ln + lnx) + -1ln(18) = ln(16)

Reorder the terms for easier multiplication:
2ln + lnx + -1 * 18ln = ln(16)

Multiply -1 * 18
2ln + lnx + -18ln = ln(16)

Reorder the terms:
2ln + -18ln + lnx = ln(16)

Combine like terms: 2ln + -18ln = -16ln
-16ln + lnx = ln(16)

Reorder the terms for easier multiplication:
-16ln + lnx = 16ln

Solving
-16ln + lnx = 16ln

Solving for variable 'l'.

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

Add '-16ln' to each side of the equation.
-16ln + -16ln + lnx = 16ln + -16ln

Combine like terms: -16ln + -16ln = -32ln
-32ln + lnx = 16ln + -16ln

Combine like terms: 16ln + -16ln = 0
-32ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-32 + 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 '(-32 + x)' equal to zero and attempt to solve:

Simplifying
-32 + x = 0

Solving
-32 + x = 0

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

Add '32' to each side of the equation.
-32 + 32 + x = 0 + 32

Combine like terms: -32 + 32 = 0
0 + x = 0 + 32
x = 0 + 32

Combine like terms: 0 + 32 = 32
x = 32

Add '-1x' to each side of the equation.
x + -1x = 32 + -1x

Combine like terms: x + -1x = 0
0 = 32 + -1x

Simplifying
0 = 32 + -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.