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