log(y)=2log(x)

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Solution for log(y)=2log(x) equation:


Simplifying
log(y) = 2log(x)

Multiply glo * y
gloy = 2log(x)

Multiply glo * x
gloy = 2glox

Solving
gloy = 2glox

Solving for variable 'g'.

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

Add '-2glox' to each side of the equation.
-2glox + gloy = 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-2glox + gloy = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-2x + 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 '(-2x + y)' equal to zero and attempt to solve: Simplifying -2x + y = 0 Solving -2x + y = 0 Move all terms containing g to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + y = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y = 0 + 2x y = 0 + 2x Remove the zero: y = 2x Add '-1y' to each side of the equation. y + -1y = 2x + -1y Combine like terms: y + -1y = 0 0 = 2x + -1y Simplifying 0 = 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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