Log(y)=xlog(x)

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Solution for Log(y)=xlog(x) equation:


Simplifying
Log(y) = xlog(x)

Multiply goL * y
goyL = xlog(x)

Multiply glox * x
goyL = glox2

Solving
goyL = glox2

Solving for variable 'g'.

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

Add '-1glox2' to each side of the equation.
-1glox2 + goyL = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
-1glox2 + goyL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-1lx2 + yL) = 0

Subproblem 1

Set the factor 'go' equal to zero and attempt to solve: Simplifying go = 0 Solving go = 0 Move all terms containing g to the left, all other terms to the right. Simplifying go = 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 '(-1lx2 + yL)' equal to zero and attempt to solve: Simplifying -1lx2 + yL = 0 Solving -1lx2 + yL = 0 Move all terms containing g to the left, all other terms to the right. Add 'lx2' to each side of the equation. -1lx2 + lx2 + yL = 0 + lx2 Combine like terms: -1lx2 + lx2 = 0 0 + yL = 0 + lx2 yL = 0 + lx2 Remove the zero: yL = lx2 Add '-1yL' to each side of the equation. yL + -1yL = lx2 + -1yL Combine like terms: yL + -1yL = 0 0 = lx2 + -1yL Simplifying 0 = lx2 + -1yL 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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