4ln(3x+6)=10

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Solution for 4ln(3x+6)=10 equation:


Simplifying
4ln(3x + 6) = 10

Reorder the terms:
4ln(6 + 3x) = 10
(6 * 4ln + 3x * 4ln) = 10
(24ln + 12lnx) = 10

Solving
24ln + 12lnx = 10

Solving for variable 'l'.

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

Reorder the terms:
-10 + 24ln + 12lnx = 10 + -10

Combine like terms: 10 + -10 = 0
-10 + 24ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-5 + 12ln + 6lnx) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + 12ln + 6lnx)' equal to zero and attempt to solve: Simplifying -5 + 12ln + 6lnx = 0 Solving -5 + 12ln + 6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 12ln + 5 + 6lnx = 0 + 5 Reorder the terms: -5 + 5 + 12ln + 6lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 12ln + 6lnx = 0 + 5 12ln + 6lnx = 0 + 5 Combine like terms: 0 + 5 = 5 12ln + 6lnx = 5 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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