Lny=lnx+ln(x+14)+lnC

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Solution for Lny=lnx+ln(x+14)+lnC equation:


Simplifying
Lny = lnx + ln(x + 14) + lnC

Reorder the terms:
nyL = lnx + ln(14 + x) + lnC
nyL = lnx + (14 * ln + x * ln) + lnC
nyL = lnx + (14ln + lnx) + lnC

Reorder the terms:
nyL = 14ln + lnC + lnx + lnx

Combine like terms: lnx + lnx = 2lnx
nyL = 14ln + lnC + 2lnx

Solving
nyL = 14ln + lnC + 2lnx

Solving for variable 'n'.

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

Add '-14ln' to each side of the equation.
-14ln + nyL = 14ln + lnC + -14ln + 2lnx

Reorder the terms:
-14ln + nyL = 14ln + -14ln + lnC + 2lnx

Combine like terms: 14ln + -14ln = 0
-14ln + nyL = 0 + lnC + 2lnx
-14ln + nyL = lnC + 2lnx

Add '-1lnC' to each side of the equation.
-14ln + -1lnC + nyL = lnC + -1lnC + 2lnx

Combine like terms: lnC + -1lnC = 0
-14ln + -1lnC + nyL = 0 + 2lnx
-14ln + -1lnC + nyL = 2lnx

Add '-2lnx' to each side of the equation.
-14ln + -1lnC + -2lnx + nyL = 2lnx + -2lnx

Combine like terms: 2lnx + -2lnx = 0
-14ln + -1lnC + -2lnx + nyL = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-14l + -1lC + -2lx + yL) = 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 '(-14l + -1lC + -2lx + yL)' equal to zero and attempt to solve: Simplifying -14l + -1lC + -2lx + yL = 0 Solving -14l + -1lC + -2lx + yL = 0 Move all terms containing n to the left, all other terms to the right. Add '14l' to each side of the equation. -14l + -1lC + -2lx + 14l + yL = 0 + 14l Reorder the terms: -14l + 14l + -1lC + -2lx + yL = 0 + 14l Combine like terms: -14l + 14l = 0 0 + -1lC + -2lx + yL = 0 + 14l -1lC + -2lx + yL = 0 + 14l Remove the zero: -1lC + -2lx + yL = 14l Add 'lC' to each side of the equation. -1lC + -2lx + lC + yL = 14l + lC Reorder the terms: -1lC + lC + -2lx + yL = 14l + lC Combine like terms: -1lC + lC = 0 0 + -2lx + yL = 14l + lC -2lx + yL = 14l + lC Add '2lx' to each side of the equation. -2lx + 2lx + yL = 14l + lC + 2lx Combine like terms: -2lx + 2lx = 0 0 + yL = 14l + lC + 2lx yL = 14l + lC + 2lx Add '-1yL' to each side of the equation. yL + -1yL = 14l + lC + 2lx + -1yL Combine like terms: yL + -1yL = 0 0 = 14l + lC + 2lx + -1yL Simplifying 0 = 14l + lC + 2lx + -1yL 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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