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Simplifying ln(x + 4) * 7 + 9 = 44 Reorder the terms: ln(4 + x) * 7 + 9 = 44 Reorder the terms for easier multiplication: 7ln(4 + x) + 9 = 44 (4 * 7ln + x * 7ln) + 9 = 44 (28ln + 7lnx) + 9 = 44 Reorder the terms: 9 + 28ln + 7lnx = 44 Solving 9 + 28ln + 7lnx = 44 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 28ln + -9 + 7lnx = 44 + -9 Reorder the terms: 9 + -9 + 28ln + 7lnx = 44 + -9 Combine like terms: 9 + -9 = 0 0 + 28ln + 7lnx = 44 + -9 28ln + 7lnx = 44 + -9 Combine like terms: 44 + -9 = 35 28ln + 7lnx = 35 Reorder the terms: -35 + 28ln + 7lnx = 35 + -35 Combine like terms: 35 + -35 = 0 -35 + 28ln + 7lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-5 + 4ln + lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-5 + 4ln + lnx)' equal to zero and attempt to solve: Simplifying -5 + 4ln + lnx = 0 Solving -5 + 4ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 4ln + 5 + lnx = 0 + 5 Reorder the terms: -5 + 5 + 4ln + lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 4ln + lnx = 0 + 5 4ln + lnx = 0 + 5 Combine like terms: 0 + 5 = 5 4ln + lnx = 5 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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