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Simplifying 3 + -4ln(8x + 1) = 12 Reorder the terms: 3 + -4ln(1 + 8x) = 12 3 + (1 * -4ln + 8x * -4ln) = 12 3 + (-4ln + -32lnx) = 12 Solving 3 + -4ln + -32lnx = 12 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 = 12 + -3 Reorder the terms: 3 + -3 + -4ln + -32lnx = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -4ln + -32lnx = 12 + -3 -4ln + -32lnx = 12 + -3 Combine like terms: 12 + -3 = 9 -4ln + -32lnx = 9 Reorder the terms: -9 + -4ln + -32lnx = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + -4ln + -32lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(9 + 4ln + 32lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 4ln + 32lnx)' equal to zero and attempt to solve: Simplifying 9 + 4ln + 32lnx = 0 Solving 9 + 4ln + 32lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4ln + -9 + 32lnx = 0 + -9 Reorder the terms: 9 + -9 + 4ln + 32lnx = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4ln + 32lnx = 0 + -9 4ln + 32lnx = 0 + -9 Combine like terms: 0 + -9 = -9 4ln + 32lnx = -9 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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