3ln(5x+6)=18

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Solution for 3ln(5x+6)=18 equation:


Simplifying
3ln(5x + 6) = 18

Reorder the terms:
3ln(6 + 5x) = 18
(6 * 3ln + 5x * 3ln) = 18
(18ln + 15lnx) = 18

Solving
18ln + 15lnx = 18

Solving for variable 'l'.

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

Reorder the terms:
-18 + 18ln + 15lnx = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 18ln + 15lnx = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-6 + 6ln + 5lnx) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-6 + 6ln + 5lnx)' equal to zero and attempt to solve: Simplifying -6 + 6ln + 5lnx = 0 Solving -6 + 6ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6ln + 6 + 5lnx = 0 + 6 Reorder the terms: -6 + 6 + 6ln + 5lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 6ln + 5lnx = 0 + 6 6ln + 5lnx = 0 + 6 Combine like terms: 0 + 6 = 6 6ln + 5lnx = 6 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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