F(x)=2ln(9x)

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Solution for F(x)=2ln(9x) equation:


Simplifying
F(x) = 2ln(9x)

Multiply F * x
xF = 2ln(9x)

Remove parenthesis around (9x)
xF = 2ln * 9x

Reorder the terms for easier multiplication:
xF = 2 * 9ln * x

Multiply 2 * 9
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}

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