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Simplifying 5ln(4x + 6) = 18 Reorder the terms: 5ln(6 + 4x) = 18 (6 * 5ln + 4x * 5ln) = 18 (30ln + 20lnx) = 18 Solving 30ln + 20lnx = 18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -18 + 30ln + 20lnx = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 30ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 15ln + 10lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 15ln + 10lnx)' equal to zero and attempt to solve: Simplifying -9 + 15ln + 10lnx = 0 Solving -9 + 15ln + 10lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 15ln + 9 + 10lnx = 0 + 9 Reorder the terms: -9 + 9 + 15ln + 10lnx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 15ln + 10lnx = 0 + 9 15ln + 10lnx = 0 + 9 Combine like terms: 0 + 9 = 9 15ln + 10lnx = 9 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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