4ln(4x+6)=16

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Solution for 4ln(4x+6)=16 equation:


Simplifying
4ln(4x + 6) = 16

Reorder the terms:
4ln(6 + 4x) = 16
(6 * 4ln + 4x * 4ln) = 16
(24ln + 16lnx) = 16

Solving
24ln + 16lnx = 16

Solving for variable 'l'.

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

Reorder the terms:
-16 + 24ln + 16lnx = 16 + -16

Combine like terms: 16 + -16 = 0
-16 + 24ln + 16lnx = 0

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

Ignore the factor 8.

Subproblem 1

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