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

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


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

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

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

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

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