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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 = 15 -4ln + -32lnx = 15 Reorder the terms: -15 + -4ln + -32lnx = 15 + -15 Combine like terms: 15 + -15 = 0 -15 + -4ln + -32lnx = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(15 + 4ln + 32lnx) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(15 + 4ln + 32lnx)' equal to zero and attempt to solve: Simplifying 15 + 4ln + 32lnx = 0 Solving 15 + 4ln + 32lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 4ln + -15 + 32lnx = 0 + -15 Reorder the terms: 15 + -15 + 4ln + 32lnx = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 4ln + 32lnx = 0 + -15 4ln + 32lnx = 0 + -15 Combine like terms: 0 + -15 = -15 4ln + 32lnx = -15 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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