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Simplifying lnx + ln(x2 + -63) = lnx Reorder the terms: lnx + ln(-63 + x2) = lnx lnx + (-63 * ln + x2 * ln) = lnx lnx + (-63ln + lnx2) = lnx Reorder the terms: -63ln + lnx + lnx2 = lnx Add '-1lnx' to each side of the equation. -63ln + lnx + -1lnx + lnx2 = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -63ln + 0 + lnx2 = lnx + -1lnx -63ln + lnx2 = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -63ln + lnx2 = 0 Solving -63ln + lnx2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-63 + x2) = 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 '(-63 + x2)' equal to zero and attempt to solve: Simplifying -63 + x2 = 0 Solving -63 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + x2 = 0 + 63 Combine like terms: -63 + 63 = 0 0 + x2 = 0 + 63 x2 = 0 + 63 Combine like terms: 0 + 63 = 63 x2 = 63 Add '-1x2' to each side of the equation. x2 + -1x2 = 63 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 63 + -1x2 Simplifying 0 = 63 + -1x2 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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