log(3x+4)-log(x-6)=1

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Solution for log(3x+4)-log(x-6)=1 equation:


Simplifying
log(3x + 4) + -1log(x + -6) = 1

Reorder the terms:
glo(4 + 3x) + -1log(x + -6) = 1
(4 * glo + 3x * glo) + -1log(x + -6) = 1
(4glo + 3glox) + -1log(x + -6) = 1

Reorder the terms:
4glo + 3glox + -1glo(-6 + x) = 1
4glo + 3glox + (-6 * -1glo + x * -1glo) = 1
4glo + 3glox + (6glo + -1glox) = 1

Reorder the terms:
4glo + 6glo + 3glox + -1glox = 1

Combine like terms: 4glo + 6glo = 10glo
10glo + 3glox + -1glox = 1

Combine like terms: 3glox + -1glox = 2glox
10glo + 2glox = 1

Solving
10glo + 2glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 10glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 10glo + 2glox = 0

The solution to this equation could not be determined.

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