log(8x-9)-log(x-1)=1

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Solution for log(8x-9)-log(x-1)=1 equation:


Simplifying
log(8x + -9) + -1log(x + -1) = 1

Reorder the terms:
glo(-9 + 8x) + -1log(x + -1) = 1
(-9 * glo + 8x * glo) + -1log(x + -1) = 1
(-9glo + 8glox) + -1log(x + -1) = 1

Reorder the terms:
-9glo + 8glox + -1glo(-1 + x) = 1
-9glo + 8glox + (-1 * -1glo + x * -1glo) = 1
-9glo + 8glox + (1glo + -1glox) = 1

Reorder the terms:
-9glo + 1glo + 8glox + -1glox = 1

Combine like terms: -9glo + 1glo = -8glo
-8glo + 8glox + -1glox = 1

Combine like terms: 8glox + -1glox = 7glox
-8glo + 7glox = 1

Solving
-8glo + 7glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -8glo + 7glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -8glo + 7glox = 0

The solution to this equation could not be determined.

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