5logx-3logy=g

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Solution for 5logx-3logy=g equation: 


Simplifying
5logx + -3logy = g

Solving
5glox + -3gloy = g

Solving for variable 'g'.

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

Add '-1g' to each side of the equation.
5glox + -1g + -3gloy = g + -1g

Reorder the terms:
-1g + 5glox + -3gloy = g + -1g

Combine like terms: g + -1g = 0
-1g + 5glox + -3gloy = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(-1 + 5lox + -3loy) = 0


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

Simplifying
g = 0

Solving
g = 0

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

Simplifying
g = 0

Subproblem 2
Set the factor '(-1 + 5lox + -3loy)' equal to zero and attempt to solve:

Simplifying
-1 + 5lox + -3loy = 0

Solving
-1 + 5lox + -3loy = 0

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

Add '1' to each side of the equation.
-1 + 5lox + 1 + -3loy = 0 + 1

Reorder the terms:
-1 + 1 + 5lox + -3loy = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 5lox + -3loy = 0 + 1
5lox + -3loy = 0 + 1

Combine like terms: 0 + 1 = 1
5lox + -3loy = 1

Add '-5lox' to each side of the equation.
5lox + -5lox + -3loy = 1 + -5lox

Combine like terms: 5lox + -5lox = 0
0 + -3loy = 1 + -5lox
-3loy = 1 + -5lox

Add '3loy' to each side of the equation.
-3loy + 3loy = 1 + -5lox + 3loy

Combine like terms: -3loy + 3loy = 0
0 = 1 + -5lox + 3loy

Simplifying
0 = 1 + -5lox + 3loy

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
g = {0}

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