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Simplifying 5ln(2z + 7) = 45 Reorder the terms: 5ln(7 + 2z) = 45 (7 * 5ln + 2z * 5ln) = 45 (35ln + 10lnz) = 45 Solving 35ln + 10lnz = 45 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -45 + 35ln + 10lnz = 45 + -45 Combine like terms: 45 + -45 = 0 -45 + 35ln + 10lnz = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-9 + 7ln + 2lnz) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-9 + 7ln + 2lnz)' equal to zero and attempt to solve: Simplifying -9 + 7ln + 2lnz = 0 Solving -9 + 7ln + 2lnz = 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 + 2lnz = 0 + 9 Reorder the terms: -9 + 9 + 7ln + 2lnz = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 7ln + 2lnz = 0 + 9 7ln + 2lnz = 0 + 9 Combine like terms: 0 + 9 = 9 7ln + 2lnz = 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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