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Simplifying 5ln(x + -4) + -7 = 8 Reorder the terms: 5ln(-4 + x) + -7 = 8 (-4 * 5ln + x * 5ln) + -7 = 8 (-20ln + 5lnx) + -7 = 8 Reorder the terms: -7 + -20ln + 5lnx = 8 Solving -7 + -20ln + 5lnx = 8 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 + -20ln + 7 + 5lnx = 8 + 7 Reorder the terms: -7 + 7 + -20ln + 5lnx = 8 + 7 Combine like terms: -7 + 7 = 0 0 + -20ln + 5lnx = 8 + 7 -20ln + 5lnx = 8 + 7 Combine like terms: 8 + 7 = 15 -20ln + 5lnx = 15 Reorder the terms: -15 + -20ln + 5lnx = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -20ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-3 + -4ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-3 + -4ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + -4ln + lnx = 0 Solving -3 + -4ln + lnx = 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 + lnx = 0 + 3 Reorder the terms: -3 + 3 + -4ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -4ln + lnx = 0 + 3 -4ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 -4ln + lnx = 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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