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Simplifying lnx + -2ln = ln4 Reorder the terms: -2ln + lnx = ln4 Solving -2ln + lnx = ln4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1ln4' to each side of the equation. -2ln + lnx + -1ln4 = ln4 + -1ln4 Combine like terms: ln4 + -1ln4 = 0 -2ln + lnx + -1ln4 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-2 + x + -1n3) = 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 '(-2 + x + -1n3)' equal to zero and attempt to solve: Simplifying -2 + x + -1n3 = 0 Reorder the terms: -2 + -1n3 + x = 0 Solving -2 + -1n3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1n3 + 2 + x = 0 + 2 Reorder the terms: -2 + 2 + -1n3 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1n3 + x = 0 + 2 -1n3 + x = 0 + 2 Combine like terms: 0 + 2 = 2 -1n3 + x = 2 Add 'n3' to each side of the equation. -1n3 + n3 + x = 2 + n3 Combine like terms: -1n3 + n3 = 0 0 + x = 2 + n3 x = 2 + n3 Add '-1x' to each side of the equation. x + -1x = 2 + n3 + -1x Combine like terms: x + -1x = 0 0 = 2 + n3 + -1x Simplifying 0 = 2 + n3 + -1x 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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