log(6x+7)-log(x-4)=1

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Solution for log(6x+7)-log(x-4)=1 equation:


Simplifying
log(6x + 7) + -1log(x + -4) = 1

Reorder the terms:
glo(7 + 6x) + -1log(x + -4) = 1
(7 * glo + 6x * glo) + -1log(x + -4) = 1
(7glo + 6glox) + -1log(x + -4) = 1

Reorder the terms:
7glo + 6glox + -1glo(-4 + x) = 1
7glo + 6glox + (-4 * -1glo + x * -1glo) = 1
7glo + 6glox + (4glo + -1glox) = 1

Reorder the terms:
7glo + 4glo + 6glox + -1glox = 1

Combine like terms: 7glo + 4glo = 11glo
11glo + 6glox + -1glox = 1

Combine like terms: 6glox + -1glox = 5glox
11glo + 5glox = 1

Solving
11glo + 5glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 11glo + 5glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 11glo + 5glox = 0

The solution to this equation could not be determined.

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