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Simplifying ln(4x + 4) = 6 Reorder the terms: ln(4 + 4x) = 6 (4 * ln + 4x * ln) = 6 (4ln + 4lnx) = 6 Solving 4ln + 4lnx = 6 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -6 + 4ln + 4lnx = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 4ln + 4lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + 2ln + 2lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + 2ln + 2lnx)' equal to zero and attempt to solve: Simplifying -3 + 2ln + 2lnx = 0 Solving -3 + 2ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2ln + 3 + 2lnx = 0 + 3 Reorder the terms: -3 + 3 + 2ln + 2lnx = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2ln + 2lnx = 0 + 3 2ln + 2lnx = 0 + 3 Combine like terms: 0 + 3 = 3 2ln + 2lnx = 3 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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