3ln(2x+5)=6

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Solution for 3ln(2x+5)=6 equation:


Simplifying
3ln(2x + 5) = 6

Reorder the terms:
3ln(5 + 2x) = 6
(5 * 3ln + 2x * 3ln) = 6
(15ln + 6lnx) = 6

Solving
15ln + 6lnx = 6

Solving for variable 'l'.

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

Reorder the terms:
-6 + 15ln + 6lnx = 6 + -6

Combine like terms: 6 + -6 = 0
-6 + 15ln + 6lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2 + 5ln + 2lnx) = 0

Ignore the factor 3.

Subproblem 1

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