6ln(3x+4)=14

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Solution for 6ln(3x+4)=14 equation:


Simplifying
6ln(3x + 4) = 14

Reorder the terms:
6ln(4 + 3x) = 14
(4 * 6ln + 3x * 6ln) = 14
(24ln + 18lnx) = 14

Solving
24ln + 18lnx = 14

Solving for variable 'l'.

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

Reorder the terms:
-14 + 24ln + 18lnx = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 24ln + 18lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-7 + 12ln + 9lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-7 + 12ln + 9lnx)' equal to zero and attempt to solve: Simplifying -7 + 12ln + 9lnx = 0 Solving -7 + 12ln + 9lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 12ln + 7 + 9lnx = 0 + 7 Reorder the terms: -7 + 7 + 12ln + 9lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12ln + 9lnx = 0 + 7 12ln + 9lnx = 0 + 7 Combine like terms: 0 + 7 = 7 12ln + 9lnx = 7 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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