xlog(5)*x=1log(3)

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Solution for xlog(5)*x=1log(3) equation: 


Simplifying
xlog(5) * x = 1log(3)

Reorder the terms for easier multiplication:
5glox * x = 1log(3)

Multiply glox * x
5glox2 = 1log(3)

Reorder the terms for easier multiplication:
5glox2 = 1 * 3glo

Multiply 1 * 3
5glox2 = 3glo

Solving
5glox2 = 3glo

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
-3glo + 5glox2 = 3glo + -3glo

Combine like terms: 3glo + -3glo = 0
-3glo + 5glox2 = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-3 + 5x2) = 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 '(-3 + 5x2)' equal to zero and attempt to solve:

Simplifying
-3 + 5x2 = 0

Solving
-3 + 5x2 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5x2 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x2 = 0 + 3
5x2 = 0 + 3

Combine like terms: 0 + 3 = 3
5x2 = 3

Add '-5x2' to each side of the equation.
5x2 + -5x2 = 3 + -5x2

Combine like terms: 5x2 + -5x2 = 0
0 = 3 + -5x2

Simplifying
0 = 3 + -5x2

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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