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Simplifying 5ln(x + -2) + -2 = 28 Reorder the terms: 5ln(-2 + x) + -2 = 28 (-2 * 5ln + x * 5ln) + -2 = 28 (-10ln + 5lnx) + -2 = 28 Reorder the terms: -2 + -10ln + 5lnx = 28 Solving -2 + -10ln + 5lnx = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -10ln + 2 + 5lnx = 28 + 2 Reorder the terms: -2 + 2 + -10ln + 5lnx = 28 + 2 Combine like terms: -2 + 2 = 0 0 + -10ln + 5lnx = 28 + 2 -10ln + 5lnx = 28 + 2 Combine like terms: 28 + 2 = 30 -10ln + 5lnx = 30 Reorder the terms: -30 + -10ln + 5lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -10ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + -2ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-6 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -6 + -2ln + lnx = 0 Solving -6 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2ln + 6 + lnx = 0 + 6 Reorder the terms: -6 + 6 + -2ln + lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2ln + lnx = 0 + 6 -2ln + lnx = 0 + 6 Combine like terms: 0 + 6 = 6 -2ln + lnx = 6 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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