log(50x)-log(x-5)=2

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Solution for log(50x)-log(x-5)=2 equation:


Simplifying
log(50x) + -1log(x + -5) = 2

Remove parenthesis around (50x)
glo * 50x + -1log(x + -5) = 2

Reorder the terms for easier multiplication:
50glo * x + -1log(x + -5) = 2

Multiply glo * x
50glox + -1log(x + -5) = 2

Reorder the terms:
50glox + -1glo(-5 + x) = 2
50glox + (-5 * -1glo + x * -1glo) = 2
50glox + (5glo + -1glox) = 2

Reorder the terms:
5glo + 50glox + -1glox = 2

Combine like terms: 50glox + -1glox = 49glox
5glo + 49glox = 2

Solving
5glo + 49glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 5glo + 49glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 5glo + 49glox = 0

The solution to this equation could not be determined.

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