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

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


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

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

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

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

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

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

Solving
6glo + 5glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 6glo + 5glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 6glo + 5glox = 0

The solution to this equation could not be determined.

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