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Simplifying ln(x) + ln(x + 6) = 16 Multiply ln * x lnx + ln(x + 6) = 16 Reorder the terms: lnx + ln(6 + x) = 16 lnx + (6 * ln + x * ln) = 16 lnx + (6ln + lnx) = 16 Reorder the terms: 6ln + lnx + lnx = 16 Combine like terms: lnx + lnx = 2lnx 6ln + 2lnx = 16 Solving 6ln + 2lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -16 + 6ln + 2lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 6ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 3ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 3ln + lnx)' equal to zero and attempt to solve: Simplifying -8 + 3ln + lnx = 0 Solving -8 + 3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3ln + 8 + lnx = 0 + 8 Reorder the terms: -8 + 8 + 3ln + lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3ln + lnx = 0 + 8 3ln + lnx = 0 + 8 Combine like terms: 0 + 8 = 8 3ln + lnx = 8 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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