log(5x)-log(x-1)=1

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Solution for log(5x)-log(x-1)=1 equation:


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

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

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

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

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

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

Combine like terms: 5glox + -1glox = 4glox
1glo + 4glox = 1

Solving
1glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 1glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1glo + 4glox = 0

The solution to this equation could not be determined.

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