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Simplifying lny = lna + xlnb Solving lny = aln + blnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1aln' to each side of the equation. -1aln + lny = aln + -1aln + blnx Combine like terms: aln + -1aln = 0 -1aln + lny = 0 + blnx -1aln + lny = blnx Add '-1blnx' to each side of the equation. -1aln + -1blnx + lny = blnx + -1blnx Combine like terms: blnx + -1blnx = 0 -1aln + -1blnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1a + -1bx + 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 '(-1a + -1bx + y)' equal to zero and attempt to solve: Simplifying -1a + -1bx + y = 0 Solving -1a + -1bx + y = 0 Move all terms containing l to the left, all other terms to the right. Add 'a' to each side of the equation. -1a + -1bx + a + y = 0 + a Reorder the terms: -1a + a + -1bx + y = 0 + a Combine like terms: -1a + a = 0 0 + -1bx + y = 0 + a -1bx + y = 0 + a Remove the zero: -1bx + y = a Add 'bx' to each side of the equation. -1bx + bx + y = a + bx Combine like terms: -1bx + bx = 0 0 + y = a + bx y = a + bx Add '-1y' to each side of the equation. y + -1y = a + bx + -1y Combine like terms: y + -1y = 0 0 = a + bx + -1y Simplifying 0 = a + bx + -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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