6ln(2x+8)=30

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Solution for 6ln(2x+8)=30 equation:


Simplifying
6ln(2x + 8) = 30

Reorder the terms:
6ln(8 + 2x) = 30
(8 * 6ln + 2x * 6ln) = 30
(48ln + 12lnx) = 30

Solving
48ln + 12lnx = 30

Solving for variable 'l'.

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

Reorder the terms:
-30 + 48ln + 12lnx = 30 + -30

Combine like terms: 30 + -30 = 0
-30 + 48ln + 12lnx = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-5 + 8ln + 2lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-5 + 8ln + 2lnx)' equal to zero and attempt to solve: Simplifying -5 + 8ln + 2lnx = 0 Solving -5 + 8ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 8ln + 5 + 2lnx = 0 + 5 Reorder the terms: -5 + 5 + 8ln + 2lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 8ln + 2lnx = 0 + 5 8ln + 2lnx = 0 + 5 Combine like terms: 0 + 5 = 5 8ln + 2lnx = 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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