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Simplifying 5ln(x + -2) + 2 = 7 Reorder the terms: 5ln(-2 + x) + 2 = 7 (-2 * 5ln + x * 5ln) + 2 = 7 (-10ln + 5lnx) + 2 = 7 Reorder the terms: 2 + -10ln + 5lnx = 7 Solving 2 + -10ln + 5lnx = 7 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 = 7 + -2 Reorder the terms: 2 + -2 + -10ln + 5lnx = 7 + -2 Combine like terms: 2 + -2 = 0 0 + -10ln + 5lnx = 7 + -2 -10ln + 5lnx = 7 + -2 Combine like terms: 7 + -2 = 5 -10ln + 5lnx = 5 Reorder the terms: -5 + -10ln + 5lnx = 5 + -5 Combine like terms: 5 + -5 = 0 -5 + -10ln + 5lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-1 + -2ln + lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-1 + -2ln + lnx)' equal to zero and attempt to solve: Simplifying -1 + -2ln + lnx = 0 Solving -1 + -2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -2ln + 1 + lnx = 0 + 1 Reorder the terms: -1 + 1 + -2ln + lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2ln + lnx = 0 + 1 -2ln + lnx = 0 + 1 Combine like terms: 0 + 1 = 1 -2ln + lnx = 1 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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