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Simplifying 2lnt(x + 2) = 4 Reorder the terms: 2lnt(2 + x) = 4 (2 * 2lnt + x * 2lnt) = 4 (4lnt + 2lntx) = 4 Solving 4lnt + 2lntx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -4 + 4lnt + 2lntx = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + 4lnt + 2lntx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + 2lnt + lntx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-2 + 2lnt + lntx)' equal to zero and attempt to solve: Simplifying -2 + 2lnt + lntx = 0 Solving -2 + 2lnt + lntx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2lnt + 2 + lntx = 0 + 2 Reorder the terms: -2 + 2 + 2lnt + lntx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2lnt + lntx = 0 + 2 2lnt + lntx = 0 + 2 Combine like terms: 0 + 2 = 2 2lnt + lntx = 2 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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