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Simplifying ln(x + 3) = 2ln4 Reorder the terms: ln(3 + x) = 2ln4 (3 * ln + x * ln) = 2ln4 (3ln + lnx) = 2ln4 Solving 3ln + lnx = 2ln4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2ln4' to each side of the equation. 3ln + lnx + -2ln4 = 2ln4 + -2ln4 Combine like terms: 2ln4 + -2ln4 = 0 3ln + lnx + -2ln4 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(3 + x + -2n3) = 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 '(3 + x + -2n3)' equal to zero and attempt to solve: Simplifying 3 + x + -2n3 = 0 Reorder the terms: 3 + -2n3 + x = 0 Solving 3 + -2n3 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2n3 + -3 + x = 0 + -3 Reorder the terms: 3 + -3 + -2n3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2n3 + x = 0 + -3 -2n3 + x = 0 + -3 Combine like terms: 0 + -3 = -3 -2n3 + x = -3 Add '2n3' to each side of the equation. -2n3 + 2n3 + x = -3 + 2n3 Combine like terms: -2n3 + 2n3 = 0 0 + x = -3 + 2n3 x = -3 + 2n3 Add '-1x' to each side of the equation. x + -1x = -3 + 2n3 + -1x Combine like terms: x + -1x = 0 0 = -3 + 2n3 + -1x Simplifying 0 = -3 + 2n3 + -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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