log(2x-5)-log(x-3)=1

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Solution for log(2x-5)-log(x-3)=1 equation: 


Simplifying
log(2x + -5) + -1log(x + -3) = 1

Reorder the terms:
glo(-5 + 2x) + -1log(x + -3) = 1
(-5 * glo + 2x * glo) + -1log(x + -3) = 1
(-5glo + 2glox) + -1log(x + -3) = 1

Reorder the terms:
-5glo + 2glox + -1glo(-3 + x) = 1
-5glo + 2glox + (-3 * -1glo + x * -1glo) = 1
-5glo + 2glox + (3glo + -1glox) = 1

Reorder the terms:
-5glo + 3glo + 2glox + -1glox = 1

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

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

Solving
-2glo + 1glox = 1

Solving for variable 'g'.

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

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

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

The solution to this equation could not be determined.

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