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Simplifying 4 = 80ln(3.5 + -1t) 4 = (3.5 * 80ln + -1t * 80ln) 4 = (280ln + -80lnt) Solving 4 = 280ln + -80lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-280ln' to each side of the equation. 4 + -280ln = 280ln + -280ln + -80lnt Combine like terms: 280ln + -280ln = 0 4 + -280ln = 0 + -80lnt 4 + -280ln = -80lnt Add '80lnt' to each side of the equation. 4 + -280ln + 80lnt = -80lnt + 80lnt Combine like terms: -80lnt + 80lnt = 0 4 + -280ln + 80lnt = 0 Add '-4' to each side of the equation. 4 + -280ln + -4 + 80lnt = 0 + -4 Reorder the terms: 4 + -4 + -280ln + 80lnt = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -280ln + 80lnt = 0 + -4 -280ln + 80lnt = 0 + -4 Combine like terms: 0 + -4 = -4 -280ln + 80lnt = -4 Reorder the terms: 4 + -280ln + 80lnt = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -280ln + 80lnt = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(1 + -70ln + 20lnt) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(1 + -70ln + 20lnt)' equal to zero and attempt to solve: Simplifying 1 + -70ln + 20lnt = 0 Solving 1 + -70ln + 20lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -70ln + -1 + 20lnt = 0 + -1 Reorder the terms: 1 + -1 + -70ln + 20lnt = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -70ln + 20lnt = 0 + -1 -70ln + 20lnt = 0 + -1 Combine like terms: 0 + -1 = -1 -70ln + 20lnt = -1 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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