F(x)=ln(18x)

Solution for F(x)=ln(18x) equation:

Simplifying
F(x) = ln(18x)

Multiply F * x
xF = ln(18x)

Remove parenthesis around (18x)
xF = ln * 18x

Reorder the terms for easier multiplication:
xF = 18ln * x

Multiply ln * x
xF = 18lnx

Solving
xF = 18lnx

Solving for variable 'x'.

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

Add '-18lnx' to each side of the equation.
-18lnx + xF = 18lnx + -18lnx

Combine like terms: 18lnx + -18lnx = 0
-18lnx + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-18ln + F) = 0

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

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(-18ln + F)' equal to zero and attempt to solve:

Simplifying
-18ln + F = 0

Reorder the terms:
F + -18ln = 0

Solving
F + -18ln = 0

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

Add '-1F' to each side of the equation.
F + -1F + -18ln = 0 + -1F

Combine like terms: F + -1F = 0
0 + -18ln = 0 + -1F
-18ln = 0 + -1F
Remove the zero:
-18ln = -1F

Add '18ln' to each side of the equation.
-18ln + 18ln = -1F + 18ln

Combine like terms: -18ln + 18ln = 0
0 = -1F + 18ln

Simplifying
0 = -1F + 18ln

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}