logx=ylogz

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Solution for logx=ylogz equation:


Simplifying
logx = ylogz

Solving
glox = gloyz

Solving for variable 'g'.

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

Add '-1gloyz' to each side of the equation.
glox + -1gloyz = gloyz + -1gloyz

Combine like terms: gloyz + -1gloyz = 0
glox + -1gloyz = 0

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