log(6x+5)-log(2x-6)=1

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Solution for log(6x+5)-log(2x-6)=1 equation:


Simplifying
log(6x + 5) + -1log(2x + -6) = 1

Reorder the terms:
glo(5 + 6x) + -1log(2x + -6) = 1
(5 * glo + 6x * glo) + -1log(2x + -6) = 1
(5glo + 6glox) + -1log(2x + -6) = 1

Reorder the terms:
5glo + 6glox + -1glo(-6 + 2x) = 1
5glo + 6glox + (-6 * -1glo + 2x * -1glo) = 1
5glo + 6glox + (6glo + -2glox) = 1

Reorder the terms:
5glo + 6glo + 6glox + -2glox = 1

Combine like terms: 5glo + 6glo = 11glo
11glo + 6glox + -2glox = 1

Combine like terms: 6glox + -2glox = 4glox
11glo + 4glox = 1

Solving
11glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 11glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 11glo + 4glox = 0

The solution to this equation could not be determined.

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