4ln(4x+6)=30

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Solution for 4ln(4x+6)=30 equation:


Simplifying
4ln(4x + 6) = 30

Reorder the terms:
4ln(6 + 4x) = 30
(6 * 4ln + 4x * 4ln) = 30
(24ln + 16lnx) = 30

Solving
24ln + 16lnx = 30

Solving for variable 'l'.

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

Reorder the terms:
-30 + 24ln + 16lnx = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 24ln + 16lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 12ln + 8lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-15 + 12ln + 8lnx)' equal to zero and attempt to solve: Simplifying -15 + 12ln + 8lnx = 0 Solving -15 + 12ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 12ln + 15 + 8lnx = 0 + 15 Reorder the terms: -15 + 15 + 12ln + 8lnx = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 12ln + 8lnx = 0 + 15 12ln + 8lnx = 0 + 15 Combine like terms: 0 + 15 = 15 12ln + 8lnx = 15 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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