log(6x)-log(x-1)=1

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Solution for log(6x)-log(x-1)=1 equation:


Simplifying
log(6x) + -1log(x + -1) = 1

Remove parenthesis around (6x)
glo * 6x + -1log(x + -1) = 1

Reorder the terms for easier multiplication:
6glo * x + -1log(x + -1) = 1

Multiply glo * x
6glox + -1log(x + -1) = 1

Reorder the terms:
6glox + -1glo(-1 + x) = 1
6glox + (-1 * -1glo + x * -1glo) = 1
6glox + (1glo + -1glox) = 1

Reorder the terms:
1glo + 6glox + -1glox = 1

Combine like terms: 6glox + -1glox = 5glox
1glo + 5glox = 1

Solving
1glo + 5glox = 1

Solving for variable 'g'.

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

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

Combine like terms: 1 + -1 = 0
-1 + 1glo + 5glox = 0

The solution to this equation could not be determined.

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