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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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