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Simplifying 3ln(7x + 4) + 19 = 31 Reorder the terms: 3ln(4 + 7x) + 19 = 31 (4 * 3ln + 7x * 3ln) + 19 = 31 (12ln + 21lnx) + 19 = 31 Reorder the terms: 19 + 12ln + 21lnx = 31 Solving 19 + 12ln + 21lnx = 31 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + 12ln + -19 + 21lnx = 31 + -19 Reorder the terms: 19 + -19 + 12ln + 21lnx = 31 + -19 Combine like terms: 19 + -19 = 0 0 + 12ln + 21lnx = 31 + -19 12ln + 21lnx = 31 + -19 Combine like terms: 31 + -19 = 12 12ln + 21lnx = 12 Reorder the terms: -12 + 12ln + 21lnx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 12ln + 21lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-4 + 4ln + 7lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-4 + 4ln + 7lnx)' equal to zero and attempt to solve: Simplifying -4 + 4ln + 7lnx = 0 Solving -4 + 4ln + 7lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4ln + 4 + 7lnx = 0 + 4 Reorder the terms: -4 + 4 + 4ln + 7lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 4ln + 7lnx = 0 + 4 4ln + 7lnx = 0 + 4 Combine like terms: 0 + 4 = 4 4ln + 7lnx = 4 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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