3ln(2x+6)-24=0

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Solution for 3ln(2x+6)-24=0 equation:


Simplifying
3ln(2x + 6) + -24 = 0

Reorder the terms:
3ln(6 + 2x) + -24 = 0
(6 * 3ln + 2x * 3ln) + -24 = 0
(18ln + 6lnx) + -24 = 0

Reorder the terms:
-24 + 18ln + 6lnx = 0

Solving
-24 + 18ln + 6lnx = 0

Solving for variable 'l'.

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

Add '24' to each side of the equation.
-24 + 18ln + 24 + 6lnx = 0 + 24

Reorder the terms:
-24 + 24 + 18ln + 6lnx = 0 + 24

Combine like terms: -24 + 24 = 0
0 + 18ln + 6lnx = 0 + 24
18ln + 6lnx = 0 + 24

Combine like terms: 0 + 24 = 24
18ln + 6lnx = 24

Reorder the terms:
-24 + 18ln + 6lnx = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 18ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 3ln + lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-4 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 3ln + lnx = 0 Solving -4 + 3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 3ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3ln + lnx = 0 + 4 3ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 3ln + lnx = 4 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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