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

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


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

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

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

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

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

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

Solving
9glo = 1

Solving for variable 'g'.

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

Divide each side by '9lo'.
g = 0.1111111111l-1o-1

Simplifying
g = 0.1111111111l-1o-1

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