6ln(4x+3)+5=29

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Solution for 6ln(4x+3)+5=29 equation:


Simplifying
6ln(4x + 3) + 5 = 29

Reorder the terms:
6ln(3 + 4x) + 5 = 29
(3 * 6ln + 4x * 6ln) + 5 = 29
(18ln + 24lnx) + 5 = 29

Reorder the terms:
5 + 18ln + 24lnx = 29

Solving
5 + 18ln + 24lnx = 29

Solving for variable 'l'.

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

Add '-5' to each side of the equation.
5 + 18ln + -5 + 24lnx = 29 + -5

Reorder the terms:
5 + -5 + 18ln + 24lnx = 29 + -5

Combine like terms: 5 + -5 = 0
0 + 18ln + 24lnx = 29 + -5
18ln + 24lnx = 29 + -5

Combine like terms: 29 + -5 = 24
18ln + 24lnx = 24

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

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

Factor out the Greatest Common Factor (GCF), '6'.
6(-4 + 3ln + 4lnx) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-4 + 3ln + 4lnx)' equal to zero and attempt to solve: Simplifying -4 + 3ln + 4lnx = 0 Solving -4 + 3ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 3ln + 4 + 4lnx = 0 + 4 Reorder the terms: -4 + 4 + 3ln + 4lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3ln + 4lnx = 0 + 4 3ln + 4lnx = 0 + 4 Combine like terms: 0 + 4 = 4 3ln + 4lnx = 4 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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