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Simplifying ln(x + 8) + ln(x + -1) = lnx2 Reorder the terms: ln(8 + x) + ln(x + -1) = lnx2 (8 * ln + x * ln) + ln(x + -1) = lnx2 (8ln + lnx) + ln(x + -1) = lnx2 Reorder the terms: 8ln + lnx + ln(-1 + x) = lnx2 8ln + lnx + (-1 * ln + x * ln) = lnx2 8ln + lnx + (-1ln + lnx) = lnx2 Reorder the terms: 8ln + -1ln + lnx + lnx = lnx2 Combine like terms: 8ln + -1ln = 7ln 7ln + lnx + lnx = lnx2 Combine like terms: lnx + lnx = 2lnx 7ln + 2lnx = lnx2 Solving 7ln + 2lnx = lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx2' to each side of the equation. 7ln + 2lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 7ln + 2lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(7 + 2x + -1x2) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + 2x + -1x2)' equal to zero and attempt to solve: Simplifying 7 + 2x + -1x2 = 0 Solving 7 + 2x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + 2x + -7 + -1x2 = 0 + -7 Reorder the terms: 7 + -7 + 2x + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x + -1x2 = 0 + -7 2x + -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 2x + -1x2 = -7 Add '-2x' to each side of the equation. 2x + -2x + -1x2 = -7 + -2x Combine like terms: 2x + -2x = 0 0 + -1x2 = -7 + -2x -1x2 = -7 + -2x Add 'x2' to each side of the equation. -1x2 + x2 = -7 + -2x + x2 Combine like terms: -1x2 + x2 = 0 0 = -7 + -2x + x2 Simplifying 0 = -7 + -2x + x2 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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