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Simplifying -3ln(x) + ln(2y) + -1ln(5z) = 0 Multiply ln * x -3lnx + ln(2y) + -1ln(5z) = 0 Remove parenthesis around (2y) -3lnx + ln * 2y + -1ln(5z) = 0 Reorder the terms for easier multiplication: -3lnx + 2ln * y + -1ln(5z) = 0 Multiply ln * y -3lnx + 2lny + -1ln(5z) = 0 Remove parenthesis around (5z) -3lnx + 2lny + -1ln * 5z = 0 Reorder the terms for easier multiplication: -3lnx + 2lny + -1 * 5ln * z = 0 Multiply -1 * 5 -3lnx + 2lny + -5ln * z = 0 Multiply ln * z -3lnx + 2lny + -5lnz = 0 Solving -3lnx + 2lny + -5lnz = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(-3x + 2y + -5z) = 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 '(-3x + 2y + -5z)' equal to zero and attempt to solve: Simplifying -3x + 2y + -5z = 0 Solving -3x + 2y + -5z = 0 Move all terms containing l to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 2y + 3x + -5z = 0 + 3x Reorder the terms: -3x + 3x + 2y + -5z = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 2y + -5z = 0 + 3x 2y + -5z = 0 + 3x Remove the zero: 2y + -5z = 3x Add '-2y' to each side of the equation. 2y + -2y + -5z = 3x + -2y Combine like terms: 2y + -2y = 0 0 + -5z = 3x + -2y -5z = 3x + -2y Add '5z' to each side of the equation. -5z + 5z = 3x + -2y + 5z Combine like terms: -5z + 5z = 0 0 = 3x + -2y + 5z Simplifying 0 = 3x + -2y + 5z 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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