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Simplifying 4ln(x + -7) = -8 Reorder the terms: 4ln(-7 + x) = -8 (-7 * 4ln + x * 4ln) = -8 (-28ln + 4lnx) = -8 Solving -28ln + 4lnx = -8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 8 + -28ln + 4lnx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -28ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(2 + -7ln + lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(2 + -7ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + -7ln + lnx = 0 Solving 2 + -7ln + 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 + -7ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + -7ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7ln + lnx = 0 + -2 -7ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -7ln + 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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