lny=lna+ulnx

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Solution for lny=lna+ulnx equation:


Simplifying
lny = lna + ulnx

Solving
lny = aln + lnux

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 + lnux

Combine like terms: aln + -1aln = 0
-1aln + lny = 0 + lnux
-1aln + lny = lnux

Add '-1lnux' to each side of the equation.
-1aln + -1lnux + lny = lnux + -1lnux

Combine like terms: lnux + -1lnux = 0
-1aln + -1lnux + lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1a + -1ux + y) = 0

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 '(-1a + -1ux + y)' equal to zero and attempt to solve: Simplifying -1a + -1ux + y = 0 Solving -1a + -1ux + 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 + -1ux + a + y = 0 + a Reorder the terms: -1a + a + -1ux + y = 0 + a Combine like terms: -1a + a = 0 0 + -1ux + y = 0 + a -1ux + y = 0 + a Remove the zero: -1ux + y = a Add 'ux' to each side of the equation. -1ux + ux + y = a + ux Combine like terms: -1ux + ux = 0 0 + y = a + ux y = a + ux Add '-1y' to each side of the equation. y + -1y = a + ux + -1y Combine like terms: y + -1y = 0 0 = a + ux + -1y Simplifying 0 = a + ux + -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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