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Simplifying 3 + -4ln(8x + -1) = 11 Reorder the terms: 3 + -4ln(-1 + 8x) = 11 3 + (-1 * -4ln + 8x * -4ln) = 11 3 + (4ln + -32lnx) = 11 Solving 3 + 4ln + -32lnx = 11 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + 4ln + -3 + -32lnx = 11 + -3 Reorder the terms: 3 + -3 + 4ln + -32lnx = 11 + -3 Combine like terms: 3 + -3 = 0 0 + 4ln + -32lnx = 11 + -3 4ln + -32lnx = 11 + -3 Combine like terms: 11 + -3 = 8 4ln + -32lnx = 8 Reorder the terms: -8 + 4ln + -32lnx = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 4ln + -32lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + ln + -8lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + ln + -8lnx)' equal to zero and attempt to solve: Simplifying -2 + ln + -8lnx = 0 Solving -2 + ln + -8lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + ln + 2 + -8lnx = 0 + 2 Reorder the terms: -2 + 2 + ln + -8lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + ln + -8lnx = 0 + 2 ln + -8lnx = 0 + 2 Combine like terms: 0 + 2 = 2 ln + -8lnx = 2 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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