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Simplifying lnx + ln(x + 4) = 12 Reorder the terms: lnx + ln(4 + x) = 12 lnx + (4 * ln + x * ln) = 12 lnx + (4ln + lnx) = 12 Reorder the terms: 4ln + lnx + lnx = 12 Combine like terms: lnx + lnx = 2lnx 4ln + 2lnx = 12 Solving 4ln + 2lnx = 12 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -12 + 4ln + 2lnx = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + 4ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-6 + 2ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-6 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -6 + 2ln + lnx = 0 Solving -6 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 2ln + 6 + lnx = 0 + 6 Reorder the terms: -6 + 6 + 2ln + lnx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 2ln + lnx = 0 + 6 2ln + lnx = 0 + 6 Combine like terms: 0 + 6 = 6 2ln + lnx = 6 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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