Log[5](5x-3)-log[5](x)=2

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Solution for Log[5](5x-3)-log[5](x)=2 equation: 


Simplifying
Log[5](5x + -3) + -1log[5](x) = 2

Reorder the terms:
goL * 5(-3 + 5x) + -1log[5](x) = 2

Reorder the terms for easier multiplication:
5goL(-3 + 5x) + -1log[5](x) = 2
(-3 * 5goL + 5x * 5goL) + -1log[5](x) = 2
(-15goL + 25goxL) + -1log[5](x) = 2

Reorder the terms for easier multiplication:
-15goL + 25goxL + -1 * 5glo * x = 2

Multiply -1 * 5
-15goL + 25goxL + -5glo * x = 2

Multiply glo * x
-15goL + 25goxL + -5glox = 2

Reorder the terms:
-5glox + -15goL + 25goxL = 2

Solving
-5glox + -15goL + 25goxL = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -5glox + -15goL + 25goxL = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -5glox + -15goL + 25goxL = 0

The solution to this equation could not be determined.

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