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Simplifying 6ln(8x + 2) = 36 Reorder the terms: 6ln(2 + 8x) = 36 (2 * 6ln + 8x * 6ln) = 36 (12ln + 48lnx) = 36 Solving 12ln + 48lnx = 36 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -36 + 12ln + 48lnx = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 12ln + 48lnx = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-3 + ln + 4lnx) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-3 + ln + 4lnx)' equal to zero and attempt to solve: Simplifying -3 + ln + 4lnx = 0 Solving -3 + ln + 4lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + ln + 3 + 4lnx = 0 + 3 Reorder the terms: -3 + 3 + ln + 4lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + ln + 4lnx = 0 + 3 ln + 4lnx = 0 + 3 Combine like terms: 0 + 3 = 3 ln + 4lnx = 3 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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