log(x-4)+log(x+4)=log^6x

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Solution for log(x-4)+log(x+4)=log^6x equation: 


Simplifying
log(x + -4) + log(x + 4) = log6x

Reorder the terms:
glo(-4 + x) + log(x + 4) = log6x
(-4 * glo + x * glo) + log(x + 4) = log6x
(-4glo + glox) + log(x + 4) = log6x

Reorder the terms:
-4glo + glox + glo(4 + x) = log6x
-4glo + glox + (4 * glo + x * glo) = log6x
-4glo + glox + (4glo + glox) = log6x

Reorder the terms:
-4glo + 4glo + glox + glox = log6x

Combine like terms: -4glo + 4glo = 0
0 + glox + glox = log6x
glox + glox = log6x

Combine like terms: glox + glox = 2glox
2glox = log6x

Solving
2glox = g6lox

Solving for variable 'g'.

Combine like terms: g6lox + -1g6lox = 0
2glox + -1g6lox = 0

Factor out the Greatest Common Factor (GCF), 'glox'.
glox(2 + -1g5) = 0


Subproblem 1
Set the factor 'glox' equal to zero and attempt to solve:

Simplifying
glox = 0

Solving
glox = 0

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

Simplifying
glox = 0

The solution to this equation could not be determined.

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

Subproblem 2
Set the factor '(2 + -1g5)' equal to zero and attempt to solve:

Simplifying
2 + -1g5 = 0

Solving
2 + -1g5 = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1g5 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1g5 = 0 + -2
-1g5 = 0 + -2

Combine like terms: 0 + -2 = -2
-1g5 = -2

Divide each side by '-1'.
g5 = 2

Simplifying
g5 = 2

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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