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Simplifying ln(4x2) + -1ln(4) = ln(16) Remove parenthesis around (4x2) ln * 4x2 + -1ln(4) = ln(16) Reorder the terms for easier multiplication: 4ln * x2 + -1ln(4) = ln(16) Multiply ln * x2 4lnx2 + -1ln(4) = ln(16) Reorder the terms for easier multiplication: 4lnx2 + -1 * 4ln = ln(16) Multiply -1 * 4 4lnx2 + -4ln = ln(16) Reorder the terms: -4ln + 4lnx2 = ln(16) Reorder the terms for easier multiplication: -4ln + 4lnx2 = 16ln Solving -4ln + 4lnx2 = 16ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-16ln' to each side of the equation. -4ln + -16ln + 4lnx2 = 16ln + -16ln Combine like terms: -4ln + -16ln = -20ln -20ln + 4lnx2 = 16ln + -16ln Combine like terms: 16ln + -16ln = 0 -20ln + 4lnx2 = 0 Factor out the Greatest Common Factor (GCF), '4ln'. 4ln(-5 + x2) = 0 Ignore the factor 4.Subproblem 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 '(-5 + x2)' equal to zero and attempt to solve: Simplifying -5 + x2 = 0 Solving -5 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x2 = 0 + 5 x2 = 0 + 5 Combine like terms: 0 + 5 = 5 x2 = 5 Add '-1x2' to each side of the equation. x2 + -1x2 = 5 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 5 + -1x2 Simplifying 0 = 5 + -1x2 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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