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Simplifying 3ln(8x + 5) + 3 = 24 Reorder the terms: 3ln(5 + 8x) + 3 = 24 (5 * 3ln + 8x * 3ln) + 3 = 24 (15ln + 24lnx) + 3 = 24 Reorder the terms: 3 + 15ln + 24lnx = 24 Solving 3 + 15ln + 24lnx = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 15ln + -3 + 24lnx = 24 + -3 Reorder the terms: 3 + -3 + 15ln + 24lnx = 24 + -3 Combine like terms: 3 + -3 = 0 0 + 15ln + 24lnx = 24 + -3 15ln + 24lnx = 24 + -3 Combine like terms: 24 + -3 = 21 15ln + 24lnx = 21 Reorder the terms: -21 + 15ln + 24lnx = 21 + -21 Combine like terms: 21 + -21 = 0 -21 + 15ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-7 + 5ln + 8lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-7 + 5ln + 8lnx)' equal to zero and attempt to solve: Simplifying -7 + 5ln + 8lnx = 0 Solving -7 + 5ln + 8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 5ln + 7 + 8lnx = 0 + 7 Reorder the terms: -7 + 7 + 5ln + 8lnx = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 5ln + 8lnx = 0 + 7 5ln + 8lnx = 0 + 7 Combine like terms: 0 + 7 = 7 5ln + 8lnx = 7 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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