3ln(6z+5)=27

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Solution for 3ln(6z+5)=27 equation:


Simplifying
3ln(6z + 5) = 27

Reorder the terms:
3ln(5 + 6z) = 27
(5 * 3ln + 6z * 3ln) = 27
(15ln + 18lnz) = 27

Solving
15ln + 18lnz = 27

Solving for variable 'l'.

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

Reorder the terms:
-27 + 15ln + 18lnz = 27 + -27

Combine like terms: 27 + -27 = 0
-27 + 15ln + 18lnz = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 5ln + 6lnz) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-9 + 5ln + 6lnz)' equal to zero and attempt to solve: Simplifying -9 + 5ln + 6lnz = 0 Solving -9 + 5ln + 6lnz = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 5ln + 9 + 6lnz = 0 + 9 Reorder the terms: -9 + 9 + 5ln + 6lnz = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 5ln + 6lnz = 0 + 9 5ln + 6lnz = 0 + 9 Combine like terms: 0 + 9 = 9 5ln + 6lnz = 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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