-3ln(x+4)+3ln(2x)=0

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Solution for -3ln(x+4)+3ln(2x)=0 equation:


Simplifying
-3ln(x + 4) + 3ln(2x) = 0

Reorder the terms:
-3ln(4 + x) + 3ln(2x) = 0
(4 * -3ln + x * -3ln) + 3ln(2x) = 0
(-12ln + -3lnx) + 3ln(2x) = 0

Remove parenthesis around (2x)
-12ln + -3lnx + 3ln * 2x = 0

Reorder the terms for easier multiplication:
-12ln + -3lnx + 3 * 2ln * x = 0

Multiply 3 * 2
-12ln + -3lnx + 6ln * x = 0

Multiply ln * x
-12ln + -3lnx + 6lnx = 0

Combine like terms: -3lnx + 6lnx = 3lnx
-12ln + 3lnx = 0

Solving
-12ln + 3lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '3ln'.
3ln(-4 + x) = 0

Ignore the factor 3.

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 '(-4 + x)' equal to zero and attempt to solve: Simplifying -4 + x = 0 Solving -4 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x = 0 + 4 x = 0 + 4 Combine like terms: 0 + 4 = 4 x = 4 Add '-1x' to each side of the equation. x + -1x = 4 + -1x Combine like terms: x + -1x = 0 0 = 4 + -1x Simplifying 0 = 4 + -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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