ln(x+1)-ln(18)=ln(6)

Solution for ln(x+1)-ln(18)=ln(6) equation:

Simplifying
ln(x + 1) + -1ln(18) = ln(6)

Reorder the terms:
ln(1 + x) + -1ln(18) = ln(6)
(1 * ln + x * ln) + -1ln(18) = ln(6)
(1ln + lnx) + -1ln(18) = ln(6)

Reorder the terms for easier multiplication:
1ln + lnx + -1 * 18ln = ln(6)

Multiply -1 * 18
1ln + lnx + -18ln = ln(6)

Reorder the terms:
1ln + -18ln + lnx = ln(6)

Combine like terms: 1ln + -18ln = -17ln
-17ln + lnx = ln(6)

Reorder the terms for easier multiplication:
-17ln + lnx = 6ln

Solving
-17ln + lnx = 6ln

Solving for variable 'l'.

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

Add '-6ln' to each side of the equation.
-17ln + -6ln + lnx = 6ln + -6ln

Combine like terms: -17ln + -6ln = -23ln
-23ln + lnx = 6ln + -6ln

Combine like terms: 6ln + -6ln = 0
-23ln + lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-23 + 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 '(-23 + x)' equal to zero and attempt to solve:

Simplifying
-23 + x = 0

Solving
-23 + x = 0

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

Add '23' to each side of the equation.
-23 + 23 + x = 0 + 23

Combine like terms: -23 + 23 = 0
0 + x = 0 + 23
x = 0 + 23

Combine like terms: 0 + 23 = 23
x = 23

Add '-1x' to each side of the equation.
x + -1x = 23 + -1x

Combine like terms: x + -1x = 0
0 = 23 + -1x

Simplifying
0 = 23 + -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.