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Simplifying 210000 = 63000ln(5t + 4) Reorder the terms: 210000 = 63000ln(4 + 5t) 210000 = (4 * 63000ln + 5t * 63000ln) 210000 = (252000ln + 315000lnt) Solving 210000 = 252000ln + 315000lnt Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-252000ln' to each side of the equation. 210000 + -252000ln = 252000ln + -252000ln + 315000lnt Combine like terms: 252000ln + -252000ln = 0 210000 + -252000ln = 0 + 315000lnt 210000 + -252000ln = 315000lnt Add '-315000lnt' to each side of the equation. 210000 + -252000ln + -315000lnt = 315000lnt + -315000lnt Combine like terms: 315000lnt + -315000lnt = 0 210000 + -252000ln + -315000lnt = 0 Add '-210000' to each side of the equation. 210000 + -252000ln + -210000 + -315000lnt = 0 + -210000 Reorder the terms: 210000 + -210000 + -252000ln + -315000lnt = 0 + -210000 Combine like terms: 210000 + -210000 = 0 0 + -252000ln + -315000lnt = 0 + -210000 -252000ln + -315000lnt = 0 + -210000 Combine like terms: 0 + -210000 = -210000 -252000ln + -315000lnt = -210000 Reorder the terms: 210000 + -252000ln + -315000lnt = -210000 + 210000 Combine like terms: -210000 + 210000 = 0 210000 + -252000ln + -315000lnt = 0 Factor out the Greatest Common Factor (GCF), '21000'. 21000(10 + -12ln + -15lnt) = 0 Ignore the factor 21000.Subproblem 1
Set the factor '(10 + -12ln + -15lnt)' equal to zero and attempt to solve: Simplifying 10 + -12ln + -15lnt = 0 Solving 10 + -12ln + -15lnt = 0 Move all terms containing l to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -12ln + -10 + -15lnt = 0 + -10 Reorder the terms: 10 + -10 + -12ln + -15lnt = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -12ln + -15lnt = 0 + -10 -12ln + -15lnt = 0 + -10 Combine like terms: 0 + -10 = -10 -12ln + -15lnt = -10 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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