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Simplifying ln(z) + ln(z + 5) = 0 Multiply ln * z lnz + ln(z + 5) = 0 Reorder the terms: lnz + ln(5 + z) = 0 lnz + (5 * ln + z * ln) = 0 lnz + (5ln + lnz) = 0 Reorder the terms: 5ln + lnz + lnz = 0 Combine like terms: lnz + lnz = 2lnz 5ln + 2lnz = 0 Solving 5ln + 2lnz = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(5 + 2z) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(5 + 2z)' equal to zero and attempt to solve: Simplifying 5 + 2z = 0 Solving 5 + 2z = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2z = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2z = 0 + -5 2z = 0 + -5 Combine like terms: 0 + -5 = -5 2z = -5 Add '-2z' to each side of the equation. 2z + -2z = -5 + -2z Combine like terms: 2z + -2z = 0 0 = -5 + -2z Simplifying 0 = -5 + -2z 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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