log(5x+7)-log(x-2)=1

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Solution for log(5x+7)-log(x-2)=1 equation:


Simplifying
log(5x + 7) + -1log(x + -2) = 1

Reorder the terms:
glo(7 + 5x) + -1log(x + -2) = 1
(7 * glo + 5x * glo) + -1log(x + -2) = 1
(7glo + 5glox) + -1log(x + -2) = 1

Reorder the terms:
7glo + 5glox + -1glo(-2 + x) = 1
7glo + 5glox + (-2 * -1glo + x * -1glo) = 1
7glo + 5glox + (2glo + -1glox) = 1

Reorder the terms:
7glo + 2glo + 5glox + -1glox = 1

Combine like terms: 7glo + 2glo = 9glo
9glo + 5glox + -1glox = 1

Combine like terms: 5glox + -1glox = 4glox
9glo + 4glox = 1

Solving
9glo + 4glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + 9glo + 4glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 9glo + 4glox = 0

The solution to this equation could not be determined.

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