log(x-1)+1=log(x^2-10x)

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Solution for log(x-1)+1=log(x^2-10x) equation: 


Simplifying
log(x + -1) + 1 = log(x2 + -10x)

Reorder the terms:
glo(-1 + x) + 1 = log(x2 + -10x)
(-1 * glo + x * glo) + 1 = log(x2 + -10x)
(-1glo + glox) + 1 = log(x2 + -10x)

Reorder the terms:
1 + -1glo + glox = log(x2 + -10x)

Reorder the terms:
1 + -1glo + glox = glo(-10x + x2)
1 + -1glo + glox = (-10x * glo + x2 * glo)
1 + -1glo + glox = (-10glox + glox2)

Solving
1 + -1glo + glox = -10glox + glox2

Solving for variable 'g'.

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

Add '10glox' to each side of the equation.
1 + -1glo + glox + 10glox = -10glox + 10glox + glox2

Combine like terms: glox + 10glox = 11glox
1 + -1glo + 11glox = -10glox + 10glox + glox2

Combine like terms: -10glox + 10glox = 0
1 + -1glo + 11glox = 0 + glox2
1 + -1glo + 11glox = glox2

Add '-1glox2' to each side of the equation.
1 + -1glo + 11glox + -1glox2 = glox2 + -1glox2

Combine like terms: glox2 + -1glox2 = 0
1 + -1glo + 11glox + -1glox2 = 0

Add '-1' to each side of the equation.
1 + -1glo + 11glox + -1 + -1glox2 = 0 + -1

Reorder the terms:
1 + -1 + -1glo + 11glox + -1glox2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1glo + 11glox + -1glox2 = 0 + -1
-1glo + 11glox + -1glox2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1glo + 11glox + -1glox2 = -1

Reorder the terms:
1 + -1glo + 11glox + -1glox2 = -1 + 1

Combine like terms: -1 + 1 = 0
1 + -1glo + 11glox + -1glox2 = 0

The solution to this equation could not be determined.

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