log^4(x-1)+log^4(x-7)=2

Solution for log^4(x-1)+log^4(x-7)=2 equation:

Simplifying
log4(x + -1) + log4(x + -7) = 2

Reorder the terms:
g4lo(-1 + x) + log4(x + -7) = 2
(-1 * g4lo + x * g4lo) + log4(x + -7) = 2
(-1g4lo + g4lox) + log4(x + -7) = 2

Reorder the terms:
-1g4lo + g4lox + g4lo(-7 + x) = 2
-1g4lo + g4lox + (-7 * g4lo + x * g4lo) = 2
-1g4lo + g4lox + (-7g4lo + g4lox) = 2

Reorder the terms:
-1g4lo + -7g4lo + g4lox + g4lox = 2

Combine like terms: -1g4lo + -7g4lo = -8g4lo
-8g4lo + g4lox + g4lox = 2

Combine like terms: g4lox + g4lox = 2g4lox
-8g4lo + 2g4lox = 2

Solving
-8g4lo + 2g4lox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + -8g4lo + 2g4lox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -8g4lo + 2g4lox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + -4g4lo + g4lox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + -4g4lo + g4lox)' equal to zero and attempt to solve:

Simplifying
-1 + -4g4lo + g4lox = 0

Solving
-1 + -4g4lo + g4lox = 0

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

Add '1' to each side of the equation.
-1 + -4g4lo + 1 + g4lox = 0 + 1

Reorder the terms:
-1 + 1 + -4g4lo + g4lox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -4g4lo + g4lox = 0 + 1
-4g4lo + g4lox = 0 + 1

Combine like terms: 0 + 1 = 1
-4g4lo + g4lox = 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.