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Simplifying 5ln(2x + 1) = 55 Reorder the terms: 5ln(1 + 2x) = 55 (1 * 5ln + 2x * 5ln) = 55 (5ln + 10lnx) = 55 Solving 5ln + 10lnx = 55 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -55 + 5ln + 10lnx = 55 + -55 Combine like terms: 55 + -55 = 0 -55 + 5ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-11 + ln + 2lnx) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(-11 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -11 + ln + 2lnx = 0 Solving -11 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '11' to each side of the equation. -11 + ln + 11 + 2lnx = 0 + 11 Reorder the terms: -11 + 11 + ln + 2lnx = 0 + 11 Combine like terms: -11 + 11 = 0 0 + ln + 2lnx = 0 + 11 ln + 2lnx = 0 + 11 Combine like terms: 0 + 11 = 11 ln + 2lnx = 11 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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