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Simplifying 30ln(x + 5) = 60 Reorder the terms: 30ln(5 + x) = 60 (5 * 30ln + x * 30ln) = 60 (150ln + 30lnx) = 60 Solving 150ln + 30lnx = 60 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -60 + 150ln + 30lnx = 60 + -60 Combine like terms: 60 + -60 = 0 -60 + 150ln + 30lnx = 0 Factor out the Greatest Common Factor (GCF), '30'. 30(-2 + 5ln + lnx) = 0 Ignore the factor 30.Subproblem 1
Set the factor '(-2 + 5ln + lnx)' equal to zero and attempt to solve: Simplifying -2 + 5ln + lnx = 0 Solving -2 + 5ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 5ln + 2 + lnx = 0 + 2 Reorder the terms: -2 + 2 + 5ln + lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 5ln + lnx = 0 + 2 5ln + lnx = 0 + 2 Combine like terms: 0 + 2 = 2 5ln + lnx = 2 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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