-ln(y)=ln(x)+ln(c)

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Solution for -ln(y)=ln(x)+ln(c) equation:


Simplifying
-1ln(y) = ln(x) + ln(c)

Multiply ln * y
-1lny = ln(x) + ln(c)

Multiply ln * x
-1lny = lnx + ln(c)

Multiply ln * c
-1lny = lnx + cln

Reorder the terms:
-1lny = cln + lnx

Solving
-1lny = cln + lnx

Solving for variable 'l'.

Move all terms containing l to the left, all other terms to the right.

Add '-1cln' to each side of the equation.
-1cln + -1lny = cln + -1cln + lnx

Combine like terms: cln + -1cln = 0
-1cln + -1lny = 0 + lnx
-1cln + -1lny = lnx

Add '-1lnx' to each side of the equation.
-1cln + -1lnx + -1lny = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-1cln + -1lnx + -1lny = 0

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

Ignore the factor -1.

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 '(c + x + y)' equal to zero and attempt to solve: Simplifying c + x + y = 0 Solving c + x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1c' to each side of the equation. c + x + -1c + y = 0 + -1c Reorder the terms: c + -1c + x + y = 0 + -1c Combine like terms: c + -1c = 0 0 + x + y = 0 + -1c x + y = 0 + -1c Remove the zero: x + y = -1c Add '-1x' to each side of the equation. x + -1x + y = -1c + -1x Combine like terms: x + -1x = 0 0 + y = -1c + -1x y = -1c + -1x Add '-1y' to each side of the equation. y + -1y = -1c + -1x + -1y Combine like terms: y + -1y = 0 0 = -1c + -1x + -1y Simplifying 0 = -1c + -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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