log(y)=-3log(x)

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Solution for log(y)=-3log(x) equation: 


Simplifying
log(y) = -3log(x)

Multiply glo * y
gloy = -3log(x)

Multiply glo * x
gloy = -3glox

Solving
gloy = -3glox

Solving for variable 'g'.

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

Add '3glox' to each side of the equation.
3glox + gloy = -3glox + 3glox

Combine like terms: -3glox + 3glox = 0
3glox + gloy = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(3x + y) = 0


Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve:

Simplifying
glo = 0

Solving
glo = 0

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

Simplifying
glo = 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 '(3x + y)' equal to zero and attempt to solve:

Simplifying
3x + y = 0

Solving
3x + y = 0

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

Add '-3x' to each side of the equation.
3x + -3x + y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + y = 0 + -3x
y = 0 + -3x
Remove the zero:
y = -3x

Add '-1y' to each side of the equation.
y + -1y = -3x + -1y

Combine like terms: y + -1y = 0
0 = -3x + -1y

Simplifying
0 = -3x + -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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