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Simplifying ln(x) + ln(y) = ln(15) Multiply ln * x lnx + ln(y) = ln(15) Multiply ln * y lnx + lny = ln(15) Reorder the terms for easier multiplication: lnx + lny = 15ln Solving lnx + lny = 15ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-15ln' to each side of the equation. lnx + -15ln + lny = 15ln + -15ln Reorder the terms: -15ln + lnx + lny = 15ln + -15ln Combine like terms: 15ln + -15ln = 0 -15ln + lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-15 + x + 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 '(-15 + x + y)' equal to zero and attempt to solve: Simplifying -15 + x + y = 0 Solving -15 + x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + x + 15 + y = 0 + 15 Reorder the terms: -15 + 15 + x + y = 0 + 15 Combine like terms: -15 + 15 = 0 0 + x + y = 0 + 15 x + y = 0 + 15 Combine like terms: 0 + 15 = 15 x + y = 15 Add '-1x' to each side of the equation. x + -1x + y = 15 + -1x Combine like terms: x + -1x = 0 0 + y = 15 + -1x y = 15 + -1x Add '-1y' to each side of the equation. y + -1y = 15 + -1x + -1y Combine like terms: y + -1y = 0 0 = 15 + -1x + -1y Simplifying 0 = 15 + -1x + -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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