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Simplifying 7ln(4x + -1) = 14 Reorder the terms: 7ln(-1 + 4x) = 14 (-1 * 7ln + 4x * 7ln) = 14 (-7ln + 28lnx) = 14 Solving -7ln + 28lnx = 14 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -14 + -7ln + 28lnx = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + -7ln + 28lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-2 + -1ln + 4lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-2 + -1ln + 4lnx)' equal to zero and attempt to solve: Simplifying -2 + -1ln + 4lnx = 0 Solving -2 + -1ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1ln + 2 + 4lnx = 0 + 2 Reorder the terms: -2 + 2 + -1ln + 4lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1ln + 4lnx = 0 + 2 -1ln + 4lnx = 0 + 2 Combine like terms: 0 + 2 = 2 -1ln + 4lnx = 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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