log(5x+4)-log(3x-7)=1

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Solution for log(5x+4)-log(3x-7)=1 equation:


Simplifying
log(5x + 4) + -1log(3x + -7) = 1

Reorder the terms:
glo(4 + 5x) + -1log(3x + -7) = 1
(4 * glo + 5x * glo) + -1log(3x + -7) = 1
(4glo + 5glox) + -1log(3x + -7) = 1

Reorder the terms:
4glo + 5glox + -1glo(-7 + 3x) = 1
4glo + 5glox + (-7 * -1glo + 3x * -1glo) = 1
4glo + 5glox + (7glo + -3glox) = 1

Reorder the terms:
4glo + 7glo + 5glox + -3glox = 1

Combine like terms: 4glo + 7glo = 11glo
11glo + 5glox + -3glox = 1

Combine like terms: 5glox + -3glox = 2glox
11glo + 2glox = 1

Solving
11glo + 2glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 11glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 11glo + 2glox = 0

The solution to this equation could not be determined.

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