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