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Simplifying x * lnx = ln(3000 + x3) Multiply x * lnx lnx2 = ln(3000 + x3) lnx2 = (3000 * ln + x3 * ln) lnx2 = (3000ln + lnx3) Solving lnx2 = 3000ln + lnx3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3000ln' to each side of the equation. -3000ln + lnx2 = 3000ln + -3000ln + lnx3 Combine like terms: 3000ln + -3000ln = 0 -3000ln + lnx2 = 0 + lnx3 -3000ln + lnx2 = lnx3 Add '-1lnx3' to each side of the equation. -3000ln + lnx2 + -1lnx3 = lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 -3000ln + lnx2 + -1lnx3 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-3000 + x2 + -1x3) = 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 '(-3000 + x2 + -1x3)' equal to zero and attempt to solve: Simplifying -3000 + x2 + -1x3 = 0 Solving -3000 + x2 + -1x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '3000' to each side of the equation. -3000 + x2 + 3000 + -1x3 = 0 + 3000 Reorder the terms: -3000 + 3000 + x2 + -1x3 = 0 + 3000 Combine like terms: -3000 + 3000 = 0 0 + x2 + -1x3 = 0 + 3000 x2 + -1x3 = 0 + 3000 Combine like terms: 0 + 3000 = 3000 x2 + -1x3 = 3000 Add '-1x2' to each side of the equation. x2 + -1x2 + -1x3 = 3000 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1x3 = 3000 + -1x2 -1x3 = 3000 + -1x2 Add 'x3' to each side of the equation. -1x3 + x3 = 3000 + -1x2 + x3 Combine like terms: -1x3 + x3 = 0 0 = 3000 + -1x2 + x3 Simplifying 0 = 3000 + -1x2 + x3 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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