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Simplifying ln * x + ln * x3 = ln * 12 Multiply ln * x lnx + ln * x3 = ln * 12 Multiply ln * x3 lnx + lnx3 = ln * 12 Reorder the terms for easier multiplication: lnx + lnx3 = 12ln Solving lnx + lnx3 = 12ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12ln' to each side of the equation. lnx + -12ln + lnx3 = 12ln + -12ln Reorder the terms: -12ln + lnx + lnx3 = 12ln + -12ln Combine like terms: 12ln + -12ln = 0 -12ln + lnx + lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-12 + x + x3) = 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 '(-12 + x + x3)' equal to zero and attempt to solve: Simplifying -12 + x + x3 = 0 Solving -12 + x + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + x + 12 + x3 = 0 + 12 Reorder the terms: -12 + 12 + x + x3 = 0 + 12 Combine like terms: -12 + 12 = 0 0 + x + x3 = 0 + 12 x + x3 = 0 + 12 Combine like terms: 0 + 12 = 12 x + x3 = 12 Add '-1x' to each side of the equation. x + -1x + x3 = 12 + -1x Combine like terms: x + -1x = 0 0 + x3 = 12 + -1x x3 = 12 + -1x Add '-1x3' to each side of the equation. x3 + -1x3 = 12 + -1x + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 12 + -1x + -1x3 Simplifying 0 = 12 + -1x + -1x3 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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