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

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


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

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

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

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

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

Combine like terms: 5glox + -1glox = 4glox
1glo + 4glox = 1

Solving
1glo + 4glox = 1

Solving for variable 'g'.

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

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

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

The solution to this equation could not be determined.

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