4ln(2x+8)=12

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Solution for 4ln(2x+8)=12 equation:


Simplifying
4ln(2x + 8) = 12

Reorder the terms:
4ln(8 + 2x) = 12
(8 * 4ln + 2x * 4ln) = 12
(32ln + 8lnx) = 12

Solving
32ln + 8lnx = 12

Solving for variable 'l'.

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

Reorder the terms:
-12 + 32ln + 8lnx = 12 + -12

Combine like terms: 12 + -12 = 0
-12 + 32ln + 8lnx = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-3 + 8ln + 2lnx) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(-3 + 8ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + 8ln + 2lnx = 0 Solving -3 + 8ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 8ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + 8ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 8ln + 2lnx = 0 + 3 8ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 8ln + 2lnx = 3 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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