F(x)=ln(ln(8x))

Solution for F(x)=ln(ln(8x)) equation:

Simplifying
F(x) = ln(ln(8x))

Multiply F * x
xF = ln(ln(8x))

Remove parenthesis around (8x)
xF = ln(ln * 8x)

Reorder the terms for easier multiplication:
xF = ln(8ln * x)

Multiply ln * x
xF = ln(8lnx)

Remove parenthesis around (8lnx)
xF = ln * 8lnx

Reorder the terms for easier multiplication:
xF = 8ln * lnx

Multiply ln * lnx
xF = 8l2n2x

Solving
xF = 8l2n2x

Solving for variable 'x'.

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

Add '-8l2n2x' to each side of the equation.
-8l2n2x + xF = 8l2n2x + -8l2n2x

Combine like terms: 8l2n2x + -8l2n2x = 0
-8l2n2x + xF = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-8l2n2 + 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 '(-8l2n2 + F)' equal to zero and attempt to solve:

Simplifying
-8l2n2 + F = 0

Reorder the terms:
F + -8l2n2 = 0

Solving
F + -8l2n2 = 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 + -8l2n2 = 0 + -1F

Combine like terms: F + -1F = 0
0 + -8l2n2 = 0 + -1F
-8l2n2 = 0 + -1F
Remove the zero:
-8l2n2 = -1F

Add '8l2n2' to each side of the equation.
-8l2n2 + 8l2n2 = -1F + 8l2n2

Combine like terms: -8l2n2 + 8l2n2 = 0
0 = -1F + 8l2n2

Simplifying
0 = -1F + 8l2n2

The solution to this equation could not be determined.

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