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Simplifying 7ln(4x + 2) + 2 = 16 Reorder the terms: 7ln(2 + 4x) + 2 = 16 (2 * 7ln + 4x * 7ln) + 2 = 16 (14ln + 28lnx) + 2 = 16 Reorder the terms: 2 + 14ln + 28lnx = 16 Solving 2 + 14ln + 28lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 14ln + -2 + 28lnx = 16 + -2 Reorder the terms: 2 + -2 + 14ln + 28lnx = 16 + -2 Combine like terms: 2 + -2 = 0 0 + 14ln + 28lnx = 16 + -2 14ln + 28lnx = 16 + -2 Combine like terms: 16 + -2 = 14 14ln + 28lnx = 14 Reorder the terms: -14 + 14ln + 28lnx = 14 + -14 Combine like terms: 14 + -14 = 0 -14 + 14ln + 28lnx = 0 Factor out the Greatest Common Factor (GCF), '14'. 14(-1 + ln + 2lnx) = 0 Ignore the factor 14.Subproblem 1
Set the factor '(-1 + ln + 2lnx)' equal to zero and attempt to solve: Simplifying -1 + ln + 2lnx = 0 Solving -1 + ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + ln + 1 + 2lnx = 0 + 1 Reorder the terms: -1 + 1 + ln + 2lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + ln + 2lnx = 0 + 1 ln + 2lnx = 0 + 1 Combine like terms: 0 + 1 = 1 ln + 2lnx = 1 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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