Iny=lnX+lnC

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Solution for Iny=lnX+lnC equation:


Simplifying
Iny = lnX + lnC

Reorder the terms:
nyI = lnC + lnX

Solving
nyI = lnC + lnX

Solving for variable 'n'.

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

Add '-1lnC' to each side of the equation.
-1lnC + nyI = lnC + -1lnC + lnX

Combine like terms: lnC + -1lnC = 0
-1lnC + nyI = 0 + lnX
-1lnC + nyI = lnX

Add '-1lnX' to each side of the equation.
-1lnC + -1lnX + nyI = lnX + -1lnX

Combine like terms: lnX + -1lnX = 0
-1lnC + -1lnX + nyI = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-1lC + -1lX + yI) = 0

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(-1lC + -1lX + yI)' equal to zero and attempt to solve: Simplifying -1lC + -1lX + yI = 0 Solving -1lC + -1lX + yI = 0 Move all terms containing n to the left, all other terms to the right. Add 'lC' to each side of the equation. -1lC + -1lX + lC + yI = 0 + lC Reorder the terms: -1lC + lC + -1lX + yI = 0 + lC Combine like terms: -1lC + lC = 0 0 + -1lX + yI = 0 + lC -1lX + yI = 0 + lC Remove the zero: -1lX + yI = lC Add 'lX' to each side of the equation. -1lX + lX + yI = lC + lX Combine like terms: -1lX + lX = 0 0 + yI = lC + lX yI = lC + lX Add '-1yI' to each side of the equation. yI + -1yI = lC + lX + -1yI Combine like terms: yI + -1yI = 0 0 = lC + lX + -1yI Simplifying 0 = lC + lX + -1yI The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

n = {0}

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