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Simplifying 2ln(200x + 1) = 200 Reorder the terms: 2ln(1 + 200x) = 200 (1 * 2ln + 200x * 2ln) = 200 (2ln + 400lnx) = 200 Solving 2ln + 400lnx = 200 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -200 + 2ln + 400lnx = 200 + -200 Combine like terms: 200 + -200 = 0 -200 + 2ln + 400lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-100 + ln + 200lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-100 + ln + 200lnx)' equal to zero and attempt to solve: Simplifying -100 + ln + 200lnx = 0 Solving -100 + ln + 200lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '100' to each side of the equation. -100 + ln + 100 + 200lnx = 0 + 100 Reorder the terms: -100 + 100 + ln + 200lnx = 0 + 100 Combine like terms: -100 + 100 = 0 0 + ln + 200lnx = 0 + 100 ln + 200lnx = 0 + 100 Combine like terms: 0 + 100 = 100 ln + 200lnx = 100 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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