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Simplifying 5ln(7x + -1) = 5 Reorder the terms: 5ln(-1 + 7x) = 5 (-1 * 5ln + 7x * 5ln) = 5 (-5ln + 35lnx) = 5 Solving -5ln + 35lnx = 5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -5 + -5ln + 35lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -5ln + 35lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -1ln + 7lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -1ln + 7lnx)' equal to zero and attempt to solve: Simplifying -1 + -1ln + 7lnx = 0 Solving -1 + -1ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1ln + 1 + 7lnx = 0 + 1 Reorder the terms: -1 + 1 + -1ln + 7lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1ln + 7lnx = 0 + 1 -1ln + 7lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -1ln + 7lnx = 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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