6ln(6y+7)=54

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Solution for 6ln(6y+7)=54 equation:


Simplifying
6ln(6y + 7) = 54

Reorder the terms:
6ln(7 + 6y) = 54
(7 * 6ln + 6y * 6ln) = 54
(42ln + 36lny) = 54

Solving
42ln + 36lny = 54

Solving for variable 'l'.

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

Reorder the terms:
-54 + 42ln + 36lny = 54 + -54

Combine like terms: 54 + -54 = 0
-54 + 42ln + 36lny = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-9 + 7ln + 6lny) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-9 + 7ln + 6lny)' equal to zero and attempt to solve: Simplifying -9 + 7ln + 6lny = 0 Solving -9 + 7ln + 6lny = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 7ln + 9 + 6lny = 0 + 9 Reorder the terms: -9 + 9 + 7ln + 6lny = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7ln + 6lny = 0 + 9 7ln + 6lny = 0 + 9 Combine like terms: 0 + 9 = 9 7ln + 6lny = 9 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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