log(x-8)+log(x-8)=2

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Solution for log(x-8)+log(x-8)=2 equation: 


Simplifying
log(x + -8) + log(x + -8) = 2

Reorder the terms:
glo(-8 + x) + log(x + -8) = 2
(-8 * glo + x * glo) + log(x + -8) = 2
(-8glo + glox) + log(x + -8) = 2

Reorder the terms:
-8glo + glox + glo(-8 + x) = 2
-8glo + glox + (-8 * glo + x * glo) = 2
-8glo + glox + (-8glo + glox) = 2

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

Combine like terms: -8glo + -8glo = -16glo
-16glo + glox + glox = 2

Combine like terms: glox + glox = 2glox
-16glo + 2glox = 2

Solving
-16glo + 2glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -16glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -16glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -8glo + glox) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-1 + -8glo + glox)' equal to zero and attempt to solve:

Simplifying
-1 + -8glo + glox = 0

Solving
-1 + -8glo + glox = 0

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

Add '1' to each side of the equation.
-1 + -8glo + 1 + glox = 0 + 1

Reorder the terms:
-1 + 1 + -8glo + glox = 0 + 1

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

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

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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