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

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


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

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

Multiply glo * x
5glox + -1log[5](x + -2) = 3

Reorder the terms:
5glox + -1glo * 5(-2 + x) = 3

Reorder the terms for easier multiplication:
5glox + -1 * 5glo(-2 + x) = 3

Multiply -1 * 5
5glox + -5glo(-2 + x) = 3
5glox + (-2 * -5glo + x * -5glo) = 3
5glox + (10glo + -5glox) = 3

Reorder the terms:
10glo + 5glox + -5glox = 3

Combine like terms: 5glox + -5glox = 0
10glo + 0 = 3
10glo = 3

Solving
10glo = 3

Solving for variable 'g'.

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

Divide each side by '10lo'.
g = 0.3l-1o-1

Simplifying
g = 0.3l-1o-1

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