6ln(2x+8)=12

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Solution for 6ln(2x+8)=12 equation:


Simplifying
6ln(2x + 8) = 12

Reorder the terms:
6ln(8 + 2x) = 12
(8 * 6ln + 2x * 6ln) = 12
(48ln + 12lnx) = 12

Solving
48ln + 12lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + 48ln + 12lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 48ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '12'.
12(-1 + 4ln + lnx) = 0

Ignore the factor 12.

Subproblem 1

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