ln(18x)-ln(6)=2

Solution for ln(18x)-ln(6)=2 equation:

Simplifying
ln(18x) + -1ln(6) = 2

Remove parenthesis around (18x)
ln * 18x + -1ln(6) = 2

Reorder the terms for easier multiplication:
18ln * x + -1ln(6) = 2

Multiply ln * x
18lnx + -1ln(6) = 2

Reorder the terms for easier multiplication:
18lnx + -1 * 6ln = 2

Multiply -1 * 6
18lnx + -6ln = 2

Reorder the terms:
-6ln + 18lnx = 2

Solving
-6ln + 18lnx = 2

Solving for variable 'l'.

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

Reorder the terms:
-2 + -6ln + 18lnx = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -6ln + 18lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -3ln + 9lnx) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -3ln + 9lnx)' equal to zero and attempt to solve:

Simplifying
-1 + -3ln + 9lnx = 0

Solving
-1 + -3ln + 9lnx = 0

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

Add '1' to each side of the equation.
-1 + -3ln + 1 + 9lnx = 0 + 1

Reorder the terms:
-1 + 1 + -3ln + 9lnx = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -3ln + 9lnx = 0 + 1
-3ln + 9lnx = 0 + 1

Combine like terms: 0 + 1 = 1
-3ln + 9lnx = 1

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.