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Simplifying 4ln(2x2) + -4ln(x) = 8 Remove parenthesis around (2x2) 4ln * 2x2 + -4ln(x) = 8 Reorder the terms for easier multiplication: 4 * 2ln * x2 + -4ln(x) = 8 Multiply 4 * 2 8ln * x2 + -4ln(x) = 8 Multiply ln * x2 8lnx2 + -4ln(x) = 8 Multiply ln * x 8lnx2 + -4lnx = 8 Reorder the terms: -4lnx + 8lnx2 = 8 Solving -4lnx + 8lnx2 = 8 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -8 + -4lnx + 8lnx2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + -4lnx + 8lnx2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2 + -1lnx + 2lnx2) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-2 + -1lnx + 2lnx2)' equal to zero and attempt to solve: Simplifying -2 + -1lnx + 2lnx2 = 0 Solving -2 + -1lnx + 2lnx2 = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + -1lnx + 2 + 2lnx2 = 0 + 2 Reorder the terms: -2 + 2 + -1lnx + 2lnx2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1lnx + 2lnx2 = 0 + 2 -1lnx + 2lnx2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1lnx + 2lnx2 = 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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