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

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


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

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

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

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

Add '-1glox' to each side of the equation.
-1 + 1glo + glox + -1glox = -8glo + glox + -1glox

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

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

Solving
-1 + 1glo = -8glo

Solving for variable 'g'.

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

Add '8glo' to each side of the equation.
-1 + 1glo + 8glo = -8glo + 8glo

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

Combine like terms: -8glo + 8glo = 0
-1 + 9glo = 0

Add '1' to each side of the equation.
-1 + 1 + 9glo = 0 + 1

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

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

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

Simplifying
g = 0.1111111111l-1o-1

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