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Simplifying 5ln(4x + -2) + -16 = 9 Reorder the terms: 5ln(-2 + 4x) + -16 = 9 (-2 * 5ln + 4x * 5ln) + -16 = 9 (-10ln + 20lnx) + -16 = 9 Reorder the terms: -16 + -10ln + 20lnx = 9 Solving -16 + -10ln + 20lnx = 9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '16' to each side of the equation. -16 + -10ln + 16 + 20lnx = 9 + 16 Reorder the terms: -16 + 16 + -10ln + 20lnx = 9 + 16 Combine like terms: -16 + 16 = 0 0 + -10ln + 20lnx = 9 + 16 -10ln + 20lnx = 9 + 16 Combine like terms: 9 + 16 = 25 -10ln + 20lnx = 25 Reorder the terms: -25 + -10ln + 20lnx = 25 + -25 Combine like terms: 25 + -25 = 0 -25 + -10ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-5 + -2ln + 4lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-5 + -2ln + 4lnx)' equal to zero and attempt to solve: Simplifying -5 + -2ln + 4lnx = 0 Solving -5 + -2ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -2ln + 5 + 4lnx = 0 + 5 Reorder the terms: -5 + 5 + -2ln + 4lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2ln + 4lnx = 0 + 5 -2ln + 4lnx = 0 + 5 Combine like terms: 0 + 5 = 5 -2ln + 4lnx = 5 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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