7ln(3x+2)-8=6

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Solution for 7ln(3x+2)-8=6 equation:


Simplifying
7ln(3x + 2) + -8 = 6

Reorder the terms:
7ln(2 + 3x) + -8 = 6
(2 * 7ln + 3x * 7ln) + -8 = 6
(14ln + 21lnx) + -8 = 6

Reorder the terms:
-8 + 14ln + 21lnx = 6

Solving
-8 + 14ln + 21lnx = 6

Solving for variable 'l'.

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

Add '8' to each side of the equation.
-8 + 14ln + 8 + 21lnx = 6 + 8

Reorder the terms:
-8 + 8 + 14ln + 21lnx = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 14ln + 21lnx = 6 + 8
14ln + 21lnx = 6 + 8

Combine like terms: 6 + 8 = 14
14ln + 21lnx = 14

Reorder the terms:
-14 + 14ln + 21lnx = 14 + -14

Combine like terms: 14 + -14 = 0
-14 + 14ln + 21lnx = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-2 + 2ln + 3lnx) = 0

Ignore the factor 7.

Subproblem 1

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