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

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


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

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

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

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

Combine like terms: -1glo + -1glo = -2glo
-2glo + glox + glox = 8

Combine like terms: glox + glox = 2glox
-2glo + 2glox = 8

Solving
-2glo + 2glox = 8

Solving for variable 'g'.

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

Reorder the terms:
-8 + -2glo + 2glox = 8 + -8

Combine like terms: 8 + -8 = 0
-8 + -2glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -1glo + glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-4 + -1glo + glox)' equal to zero and attempt to solve:

Simplifying
-4 + -1glo + glox = 0

Solving
-4 + -1glo + glox = 0

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

Add '4' to each side of the equation.
-4 + -1glo + 4 + glox = 0 + 4

Reorder the terms:
-4 + 4 + -1glo + glox = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1glo + glox = 0 + 4
-1glo + glox = 0 + 4

Combine like terms: 0 + 4 = 4
-1glo + glox = 4

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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