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Simplifying 6ln(2) + 10ln(5) + 4ln(4) = 10ln(I) Reorder the terms for easier multiplication: 6 * 2ln + 10ln(5) + 4ln(4) = 10ln(I) Multiply 6 * 2 12ln + 10ln(5) + 4ln(4) = 10ln(I) Reorder the terms for easier multiplication: 12ln + 10 * 5ln + 4ln(4) = 10ln(I) Multiply 10 * 5 12ln + 50ln + 4ln(4) = 10ln(I) Reorder the terms for easier multiplication: 12ln + 50ln + 4 * 4ln = 10ln(I) Multiply 4 * 4 12ln + 50ln + 16ln = 10ln(I) Combine like terms: 12ln + 50ln = 62ln 62ln + 16ln = 10ln(I) Combine like terms: 62ln + 16ln = 78ln 78ln = 10ln(I) Multiply ln * I 78ln = 10lnI Solving 78ln = 10lnI Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-10lnI' to each side of the equation. 78ln + -10lnI = 10lnI + -10lnI Combine like terms: 10lnI + -10lnI = 0 78ln + -10lnI = 0 Factor out the Greatest Common Factor (GCF), '2ln'. 2ln(39 + -5I) = 0 Ignore the factor 2.Subproblem 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 '(39 + -5I)' equal to zero and attempt to solve: Simplifying 39 + -5I = 0 Solving 39 + -5I = 0 Move all terms containing l to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + -5I = 0 + -39 Combine like terms: 39 + -39 = 0 0 + -5I = 0 + -39 -5I = 0 + -39 Combine like terms: 0 + -39 = -39 -5I = -39 Add '5I' to each side of the equation. -5I + 5I = -39 + 5I Combine like terms: -5I + 5I = 0 0 = -39 + 5I Simplifying 0 = -39 + 5I 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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