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

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


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

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

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

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

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

Combine like terms: 3glox + -1glox = 2glox
4glo + 2glox = 3

Solving
4glo + 2glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 4glo + 2glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 4glo + 2glox = 0

The solution to this equation could not be determined.

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