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Simplifying ln(2x + 1) * 2 + -7 = 13 Reorder the terms: ln(1 + 2x) * 2 + -7 = 13 Reorder the terms for easier multiplication: 2ln(1 + 2x) + -7 = 13 (1 * 2ln + 2x * 2ln) + -7 = 13 (2ln + 4lnx) + -7 = 13 Reorder the terms: -7 + 2ln + 4lnx = 13 Solving -7 + 2ln + 4lnx = 13 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 2ln + 7 + 4lnx = 13 + 7 Reorder the terms: -7 + 7 + 2ln + 4lnx = 13 + 7 Combine like terms: -7 + 7 = 0 0 + 2ln + 4lnx = 13 + 7 2ln + 4lnx = 13 + 7 Combine like terms: 13 + 7 = 20 2ln + 4lnx = 20 Reorder the terms: -20 + 2ln + 4lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 2ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-10 + ln + 2lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-10 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -10 + ln + 2lnx = 0 Solving -10 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + ln + 10 + 2lnx = 0 + 10 Reorder the terms: -10 + 10 + ln + 2lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + ln + 2lnx = 0 + 10 ln + 2lnx = 0 + 10 Combine like terms: 0 + 10 = 10 ln + 2lnx = 10 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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