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Simplifying lnx + ln(x + -2) = 48 Reorder the terms: lnx + ln(-2 + x) = 48 lnx + (-2 * ln + x * ln) = 48 lnx + (-2ln + lnx) = 48 Reorder the terms: -2ln + lnx + lnx = 48 Combine like terms: lnx + lnx = 2lnx -2ln + 2lnx = 48 Solving -2ln + 2lnx = 48 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -48 + -2ln + 2lnx = 48 + -48 Combine like terms: 48 + -48 = 0 -48 + -2ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-24 + -1ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-24 + -1ln + lnx)' equal to zero and attempt to solve: Simplifying -24 + -1ln + lnx = 0 Solving -24 + -1ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '24' to each side of the equation. -24 + -1ln + 24 + lnx = 0 + 24 Reorder the terms: -24 + 24 + -1ln + lnx = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1ln + lnx = 0 + 24 -1ln + lnx = 0 + 24 Combine like terms: 0 + 24 = 24 -1ln + lnx = 24 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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