ln*x+ln*(x-4)=ln*12

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Solution for ln*x+ln*(x-4)=ln*12 equation:


Simplifying
ln * x + ln(x + -4) = ln * 12

Multiply ln * x
lnx + ln(x + -4) = ln * 12

Reorder the terms:
lnx + ln(-4 + x) = ln * 12
lnx + (-4 * ln + x * ln) = ln * 12
lnx + (-4ln + lnx) = ln * 12

Reorder the terms:
-4ln + lnx + lnx = ln * 12

Combine like terms: lnx + lnx = 2lnx
-4ln + 2lnx = ln * 12

Reorder the terms for easier multiplication:
-4ln + 2lnx = 12ln

Solving
-4ln + 2lnx = 12ln

Solving for variable 'l'.

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

Add '-12ln' to each side of the equation.
-4ln + -12ln + 2lnx = 12ln + -12ln

Combine like terms: -4ln + -12ln = -16ln
-16ln + 2lnx = 12ln + -12ln

Combine like terms: 12ln + -12ln = 0
-16ln + 2lnx = 0

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(-8 + x) = 0

Ignore the factor 2.

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 '(-8 + x)' equal to zero and attempt to solve: Simplifying -8 + x = 0 Solving -8 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + x = 0 + 8 x = 0 + 8 Combine like terms: 0 + 8 = 8 x = 8 Add '-1x' to each side of the equation. x + -1x = 8 + -1x Combine like terms: x + -1x = 0 0 = 8 + -1x Simplifying 0 = 8 + -1x 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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