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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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