2ln(3x+4)+5=5

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Solution for 2ln(3x+4)+5=5 equation:


Simplifying
2ln(3x + 4) + 5 = 5

Reorder the terms:
2ln(4 + 3x) + 5 = 5
(4 * 2ln + 3x * 2ln) + 5 = 5
(8ln + 6lnx) + 5 = 5

Reorder the terms:
5 + 8ln + 6lnx = 5

Add '-5' to each side of the equation.
5 + 8ln + -5 + 6lnx = 5 + -5

Reorder the terms:
5 + -5 + 8ln + 6lnx = 5 + -5

Combine like terms: 5 + -5 = 0
0 + 8ln + 6lnx = 5 + -5
8ln + 6lnx = 5 + -5

Combine like terms: 5 + -5 = 0
8ln + 6lnx = 0

Solving
8ln + 6lnx = 0

Solving for variable 'l'.

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

Factor out the Greatest Common Factor (GCF), '2ln'.
2ln(4 + 3x) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

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