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Simplifying 5ln(x + 2) + -9 = 11 Reorder the terms: 5ln(2 + x) + -9 = 11 (2 * 5ln + x * 5ln) + -9 = 11 (10ln + 5lnx) + -9 = 11 Reorder the terms: -9 + 10ln + 5lnx = 11 Solving -9 + 10ln + 5lnx = 11 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 10ln + 9 + 5lnx = 11 + 9 Reorder the terms: -9 + 9 + 10ln + 5lnx = 11 + 9 Combine like terms: -9 + 9 = 0 0 + 10ln + 5lnx = 11 + 9 10ln + 5lnx = 11 + 9 Combine like terms: 11 + 9 = 20 10ln + 5lnx = 20 Reorder the terms: -20 + 10ln + 5lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 10ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-4 + 2ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-4 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -4 + 2ln + lnx = 0 Solving -4 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 2ln + 4 + lnx = 0 + 4 Reorder the terms: -4 + 4 + 2ln + lnx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2ln + lnx = 0 + 4 2ln + lnx = 0 + 4 Combine like terms: 0 + 4 = 4 2ln + lnx = 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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