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Simplifying ln(y) = ln(2x5) Multiply ln * y lny = ln(2x5) Remove parenthesis around (2x5) lny = ln * 2x5 Reorder the terms for easier multiplication: lny = 2ln * x5 Multiply ln * x5 lny = 2lnx5 Solving lny = 2lnx5 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx5' to each side of the equation. -2lnx5 + lny = 2lnx5 + -2lnx5 Combine like terms: 2lnx5 + -2lnx5 = 0 -2lnx5 + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-2x5 + y) = 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 '(-2x5 + y)' equal to zero and attempt to solve: Simplifying -2x5 + y = 0 Solving -2x5 + y = 0 Move all terms containing l to the left, all other terms to the right. Add '2x5' to each side of the equation. -2x5 + 2x5 + y = 0 + 2x5 Combine like terms: -2x5 + 2x5 = 0 0 + y = 0 + 2x5 y = 0 + 2x5 Remove the zero: y = 2x5 Add '-1y' to each side of the equation. y + -1y = 2x5 + -1y Combine like terms: y + -1y = 0 0 = 2x5 + -1y Simplifying 0 = 2x5 + -1y 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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