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