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Simplifying 4ln(2x + 1) = 36 Reorder the terms: 4ln(1 + 2x) = 36 (1 * 4ln + 2x * 4ln) = 36 (4ln + 8lnx) = 36 Solving 4ln + 8lnx = 36 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -36 + 4ln + 8lnx = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 4ln + 8lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + ln + 2lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-9 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -9 + ln + 2lnx = 0 Solving -9 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + ln + 9 + 2lnx = 0 + 9 Reorder the terms: -9 + 9 + ln + 2lnx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + ln + 2lnx = 0 + 9 ln + 2lnx = 0 + 9 Combine like terms: 0 + 9 = 9 ln + 2lnx = 9 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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