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

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


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

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

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

Multiply ln * c
lny = lnx + cln

Reorder the terms:
lny = cln + lnx

Solving
lny = 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 + lny = cln + -1cln + lnx

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

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

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

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

Simplifying
-1c + -1x + y = 0

Solving
-1c + -1x + y = 0

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

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

Reorder the terms:
-1c + c + -1x + y = 0 + c

Combine like terms: -1c + c = 0
0 + -1x + y = 0 + c
-1x + y = 0 + c
Remove the zero:
-1x + y = c

Add 'x' to each side of the equation.
-1x + x + y = c + x

Combine like terms: -1x + x = 0
0 + y = c + x
y = c + x

Add '-1y' to each side of the equation.
y + -1y = c + x + -1y

Combine like terms: y + -1y = 0
0 = c + x + -1y

Simplifying
0 = c + x + -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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