6ln(x+2)-3=21

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Solution for 6ln(x+2)-3=21 equation:


Simplifying
6ln(x + 2) + -3 = 21

Reorder the terms:
6ln(2 + x) + -3 = 21
(2 * 6ln + x * 6ln) + -3 = 21
(12ln + 6lnx) + -3 = 21

Reorder the terms:
-3 + 12ln + 6lnx = 21

Solving
-3 + 12ln + 6lnx = 21

Solving for variable 'l'.

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

Add '3' to each side of the equation.
-3 + 12ln + 3 + 6lnx = 21 + 3

Reorder the terms:
-3 + 3 + 12ln + 6lnx = 21 + 3

Combine like terms: -3 + 3 = 0
0 + 12ln + 6lnx = 21 + 3
12ln + 6lnx = 21 + 3

Combine like terms: 21 + 3 = 24
12ln + 6lnx = 24

Reorder the terms:
-24 + 12ln + 6lnx = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 12ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 2ln + lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-4 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 2ln + lnx = 0 Solving -4 + 2ln + 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 + 2ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 2ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2ln + lnx = 0 + 4 2ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 2ln + 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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