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Simplifying 5ln(t + -4) = 5 Reorder the terms: 5ln(-4 + t) = 5 (-4 * 5ln + t * 5ln) = 5 (-20ln + 5lnt) = 5 Solving -20ln + 5lnt = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + -20ln + 5lnt = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -20ln + 5lnt = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -4ln + lnt) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -4ln + lnt)' equal to zero and attempt to solve: Simplifying -1 + -4ln + lnt = 0 Solving -1 + -4ln + lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -4ln + 1 + lnt = 0 + 1 Reorder the terms: -1 + 1 + -4ln + lnt = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4ln + lnt = 0 + 1 -4ln + lnt = 0 + 1 Combine like terms: 0 + 1 = 1 -4ln + lnt = 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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