ln*20-ln*6-ln*2=ln*x

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Solution for ln*20-ln*6-ln*2=ln*x equation:


Simplifying
ln * 20 + -1ln * 6 + -1ln * 2 = ln * x

Reorder the terms for easier multiplication:
20ln + -1ln * 6 + -1ln * 2 = ln * x

Reorder the terms for easier multiplication:
20ln + -1 * 6ln + -1ln * 2 = ln * x

Multiply -1 * 6
20ln + -6ln + -1ln * 2 = ln * x

Reorder the terms for easier multiplication:
20ln + -6ln + -1 * 2ln = ln * x

Multiply -1 * 2
20ln + -6ln + -2ln = ln * x

Combine like terms: 20ln + -6ln = 14ln
14ln + -2ln = ln * x

Combine like terms: 14ln + -2ln = 12ln
12ln = ln * x

Multiply ln * x
12ln = lnx

Solving
12ln = lnx

Solving for variable 'l'.

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

Add '-1lnx' to each side of the equation.
12ln + -1lnx = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
12ln + -1lnx = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(12 + -1x) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Add 'x' to each side of the equation. -1x + x = -12 + x Combine like terms: -1x + x = 0 0 = -12 + x Simplifying 0 = -12 + x 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.

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