F(s)=ln(ln(3s))

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Solution for F(s)=ln(ln(3s)) equation:


Simplifying
F(s) = ln(ln(3s))

Multiply F * s
sF = ln(ln(3s))

Remove parenthesis around (3s)
sF = ln(ln * 3s)

Reorder the terms for easier multiplication:
sF = ln(3ln * s)

Multiply ln * s
sF = ln(3lns)

Remove parenthesis around (3lns)
sF = ln * 3lns

Reorder the terms for easier multiplication:
sF = 3ln * lns

Multiply ln * lns
sF = 3l2n2s

Solving
sF = 3l2n2s

Solving for variable 's'.

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

Add '-3l2n2s' to each side of the equation.
-3l2n2s + sF = 3l2n2s + -3l2n2s

Combine like terms: 3l2n2s + -3l2n2s = 0
-3l2n2s + sF = 0

Factor out the Greatest Common Factor (GCF), 's'.
s(-3l2n2 + F) = 0

Subproblem 1

Set the factor 's' equal to zero and attempt to solve: Simplifying s = 0 Solving s = 0 Move all terms containing s to the left, all other terms to the right. Simplifying s = 0

Subproblem 2

Set the factor '(-3l2n2 + F)' equal to zero and attempt to solve: Simplifying -3l2n2 + F = 0 Reorder the terms: F + -3l2n2 = 0 Solving F + -3l2n2 = 0 Move all terms containing s to the left, all other terms to the right. Add '-1F' to each side of the equation. F + -1F + -3l2n2 = 0 + -1F Combine like terms: F + -1F = 0 0 + -3l2n2 = 0 + -1F -3l2n2 = 0 + -1F Remove the zero: -3l2n2 = -1F Add '3l2n2' to each side of the equation. -3l2n2 + 3l2n2 = -1F + 3l2n2 Combine like terms: -3l2n2 + 3l2n2 = 0 0 = -1F + 3l2n2 Simplifying 0 = -1F + 3l2n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

s = {0}

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