lny=ln(x)+ln(x+14)+ln(C)

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Solution for lny=ln(x)+ln(x+14)+ln(C) equation: 


Simplifying
lny = ln(x) + ln(x + 14) + ln(C)

Multiply ln * x
lny = lnx + ln(x + 14) + ln(C)

Reorder the terms:
lny = lnx + ln(14 + x) + ln(C)
lny = lnx + (14 * ln + x * ln) + ln(C)
lny = lnx + (14ln + lnx) + ln(C)

Multiply ln * C
lny = lnx + 14ln + lnx + lnC

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

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

Solving
lny = 14ln + lnC + 2lnx

Solving for variable 'l'.

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

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-14 + -1C + -2x + 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 '(-14 + -1C + -2x + y)' equal to zero and attempt to solve:

Simplifying
-14 + -1C + -2x + y = 0

Solving
-14 + -1C + -2x + y = 0

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

Add '14' to each side of the equation.
-14 + -1C + -2x + 14 + y = 0 + 14

Reorder the terms:
-14 + 14 + -1C + -2x + y = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -1C + -2x + y = 0 + 14
-1C + -2x + y = 0 + 14

Combine like terms: 0 + 14 = 14
-1C + -2x + y = 14

Add 'C' to each side of the equation.
-1C + -2x + C + y = 14 + C

Reorder the terms:
-1C + C + -2x + y = 14 + C

Combine like terms: -1C + C = 0
0 + -2x + y = 14 + C
-2x + y = 14 + C

Add '2x' to each side of the equation.
-2x + 2x + y = 14 + C + 2x

Combine like terms: -2x + 2x = 0
0 + y = 14 + C + 2x
y = 14 + C + 2x

Add '-1y' to each side of the equation.
y + -1y = 14 + C + 2x + -1y

Combine like terms: y + -1y = 0
0 = 14 + C + 2x + -1y

Simplifying
0 = 14 + C + 2x + -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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