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Simplifying ln(4x + -8) = 78 Reorder the terms: ln(-8 + 4x) = 78 (-8 * ln + 4x * ln) = 78 (-8ln + 4lnx) = 78 Solving -8ln + 4lnx = 78 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -78 + -8ln + 4lnx = 78 + -78 Combine like terms: 78 + -78 = 0 -78 + -8ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-39 + -4ln + 2lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-39 + -4ln + 2lnx)' equal to zero and attempt to solve: Simplifying -39 + -4ln + 2lnx = 0 Solving -39 + -4ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '39' to each side of the equation. -39 + -4ln + 39 + 2lnx = 0 + 39 Reorder the terms: -39 + 39 + -4ln + 2lnx = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -4ln + 2lnx = 0 + 39 -4ln + 2lnx = 0 + 39 Combine like terms: 0 + 39 = 39 -4ln + 2lnx = 39 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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