log(6x-7)-log(x-5)=1

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Solution for log(6x-7)-log(x-5)=1 equation:


Simplifying
log(6x + -7) + -1log(x + -5) = 1

Reorder the terms:
glo(-7 + 6x) + -1log(x + -5) = 1
(-7 * glo + 6x * glo) + -1log(x + -5) = 1
(-7glo + 6glox) + -1log(x + -5) = 1

Reorder the terms:
-7glo + 6glox + -1glo(-5 + x) = 1
-7glo + 6glox + (-5 * -1glo + x * -1glo) = 1
-7glo + 6glox + (5glo + -1glox) = 1

Reorder the terms:
-7glo + 5glo + 6glox + -1glox = 1

Combine like terms: -7glo + 5glo = -2glo
-2glo + 6glox + -1glox = 1

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

Solving
-2glo + 5glox = 1

Solving for variable 'g'.

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

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

Combine like terms: 1 + -1 = 0
-1 + -2glo + 5glox = 0

The solution to this equation could not be determined.

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