logx-1=-log(x-9)

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


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

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

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

Solving
-1 + glox = 9glo + -1glox

Solving for variable 'g'.

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

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

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

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

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

Combine like terms: -1glox + glox = 0
-1 + -9glo + 2glox = 0

Add '1' to each side of the equation.
-1 + -9glo + 1 + 2glox = 0 + 1

Reorder the terms:
-1 + 1 + -9glo + 2glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -9glo + 2glox = 0 + 1
-9glo + 2glox = 0 + 1

Combine like terms: 0 + 1 = 1
-9glo + 2glox = 1

Reorder the terms:
-1 + -9glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -9glo + 2glox = 0

The solution to this equation could not be determined.

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