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