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Simplifying ln(x) = ln(x2 + 72) Multiply ln * x lnx = ln(x2 + 72) Reorder the terms: lnx = ln(72 + x2) lnx = (72 * ln + x2 * ln) lnx = (72ln + lnx2) Solving lnx = 72ln + lnx2 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-72ln' to each side of the equation. -72ln + lnx = 72ln + -72ln + lnx2 Combine like terms: 72ln + -72ln = 0 -72ln + lnx = 0 + lnx2 -72ln + lnx = lnx2 Add '-1lnx2' to each side of the equation. -72ln + lnx + -1lnx2 = lnx2 + -1lnx2 Combine like terms: lnx2 + -1lnx2 = 0 -72ln + lnx + -1lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-72 + x + -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 '(-72 + x + -1x2)' equal to zero and attempt to solve: Simplifying -72 + x + -1x2 = 0 Solving -72 + x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '72' to each side of the equation. -72 + x + 72 + -1x2 = 0 + 72 Reorder the terms: -72 + 72 + x + -1x2 = 0 + 72 Combine like terms: -72 + 72 = 0 0 + x + -1x2 = 0 + 72 x + -1x2 = 0 + 72 Combine like terms: 0 + 72 = 72 x + -1x2 = 72 Add '-1x' to each side of the equation. x + -1x + -1x2 = 72 + -1x Combine like terms: x + -1x = 0 0 + -1x2 = 72 + -1x -1x2 = 72 + -1x Add 'x2' to each side of the equation. -1x2 + x2 = 72 + -1x + x2 Combine like terms: -1x2 + x2 = 0 0 = 72 + -1x + x2 Simplifying 0 = 72 + -1x + 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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