log(3x-2)-log(x-5)=4

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Solution for log(3x-2)-log(x-5)=4 equation:


Simplifying
log(3x + -2) + -1log(x + -5) = 4

Reorder the terms:
glo(-2 + 3x) + -1log(x + -5) = 4
(-2 * glo + 3x * glo) + -1log(x + -5) = 4
(-2glo + 3glox) + -1log(x + -5) = 4

Reorder the terms:
-2glo + 3glox + -1glo(-5 + x) = 4
-2glo + 3glox + (-5 * -1glo + x * -1glo) = 4
-2glo + 3glox + (5glo + -1glox) = 4

Reorder the terms:
-2glo + 5glo + 3glox + -1glox = 4

Combine like terms: -2glo + 5glo = 3glo
3glo + 3glox + -1glox = 4

Combine like terms: 3glox + -1glox = 2glox
3glo + 2glox = 4

Solving
3glo + 2glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 3glo + 2glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 3glo + 2glox = 0

The solution to this equation could not be determined.

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