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Simplifying 5ln(4x + -6) = -6 Reorder the terms: 5ln(-6 + 4x) = -6 (-6 * 5ln + 4x * 5ln) = -6 (-30ln + 20lnx) = -6 Solving -30ln + 20lnx = -6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 6 + -30ln + 20lnx = -6 + 6 Combine like terms: -6 + 6 = 0 6 + -30ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(3 + -15ln + 10lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -15ln + 10lnx)' equal to zero and attempt to solve: Simplifying 3 + -15ln + 10lnx = 0 Solving 3 + -15ln + 10lnx = 0 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 + 10lnx = 0 + -3 Reorder the terms: 3 + -3 + -15ln + 10lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -15ln + 10lnx = 0 + -3 -15ln + 10lnx = 0 + -3 Combine like terms: 0 + -3 = -3 -15ln + 10lnx = -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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