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Simplifying -7ln(X + -4) + -7 = -28 Reorder the terms: -7ln(-4 + X) + -7 = -28 (-4 * -7ln + X * -7ln) + -7 = -28 (28ln + -7lnX) + -7 = -28 Reorder the terms: -7 + 28ln + -7lnX = -28 Solving -7 + 28ln + -7lnX = -28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 28ln + 7 + -7lnX = -28 + 7 Reorder the terms: -7 + 7 + 28ln + -7lnX = -28 + 7 Combine like terms: -7 + 7 = 0 0 + 28ln + -7lnX = -28 + 7 28ln + -7lnX = -28 + 7 Combine like terms: -28 + 7 = -21 28ln + -7lnX = -21 Reorder the terms: 21 + 28ln + -7lnX = -21 + 21 Combine like terms: -21 + 21 = 0 21 + 28ln + -7lnX = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(3 + 4ln + -1lnX) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + 4ln + -1lnX)' equal to zero and attempt to solve: Simplifying 3 + 4ln + -1lnX = 0 Solving 3 + 4ln + -1lnX = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4ln + -3 + -1lnX = 0 + -3 Reorder the terms: 3 + -3 + 4ln + -1lnX = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4ln + -1lnX = 0 + -3 4ln + -1lnX = 0 + -3 Combine like terms: 0 + -3 = -3 4ln + -1lnX = -3 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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