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Simplifying 6ln(5x + -1) = 3 Reorder the terms: 6ln(-1 + 5x) = 3 (-1 * 6ln + 5x * 6ln) = 3 (-6ln + 30lnx) = 3 Solving -6ln + 30lnx = 3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -3 + -6ln + 30lnx = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -6ln + 30lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-1 + -2ln + 10lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-1 + -2ln + 10lnx)' equal to zero and attempt to solve: Simplifying -1 + -2ln + 10lnx = 0 Solving -1 + -2ln + 10lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ln + 1 + 10lnx = 0 + 1 Reorder the terms: -1 + 1 + -2ln + 10lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ln + 10lnx = 0 + 1 -2ln + 10lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -2ln + 10lnx = 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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