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Simplifying 3x3 * lnx = 12lnx Multiply x3 * lnx 3lnx4 = 12lnx Solving 3lnx4 = 12lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-12lnx' to each side of the equation. -12lnx + 3lnx4 = 12lnx + -12lnx Combine like terms: 12lnx + -12lnx = 0 -12lnx + 3lnx4 = 0 Factor out the Greatest Common Factor (GCF), '3lnx'. 3lnx(-4 + x3) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 '(-4 + x3)' equal to zero and attempt to solve: Simplifying -4 + x3 = 0 Solving -4 + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + x3 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + x3 = 0 + 4 x3 = 0 + 4 Combine like terms: 0 + 4 = 4 x3 = 4 Add '-1x3' to each side of the equation. x3 + -1x3 = 4 + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 4 + -1x3 Simplifying 0 = 4 + -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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