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Simplifying ln(x + 5) * 7 + 8 = 29 Reorder the terms: ln(5 + x) * 7 + 8 = 29 Reorder the terms for easier multiplication: 7ln(5 + x) + 8 = 29 (5 * 7ln + x * 7ln) + 8 = 29 (35ln + 7lnx) + 8 = 29 Reorder the terms: 8 + 35ln + 7lnx = 29 Solving 8 + 35ln + 7lnx = 29 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 35ln + -8 + 7lnx = 29 + -8 Reorder the terms: 8 + -8 + 35ln + 7lnx = 29 + -8 Combine like terms: 8 + -8 = 0 0 + 35ln + 7lnx = 29 + -8 35ln + 7lnx = 29 + -8 Combine like terms: 29 + -8 = 21 35ln + 7lnx = 21 Reorder the terms: -21 + 35ln + 7lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 35ln + 7lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-3 + 5ln + lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-3 + 5ln + lnx)' equal to zero and attempt to solve: Simplifying -3 + 5ln + lnx = 0 Solving -3 + 5ln + 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 + 5ln + 3 + lnx = 0 + 3 Reorder the terms: -3 + 3 + 5ln + lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 5ln + lnx = 0 + 3 5ln + lnx = 0 + 3 Combine like terms: 0 + 3 = 3 5ln + 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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