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

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

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

Reorder the terms for easier multiplication:
8glo * x + log(8)(x + 2) = 2

Multiply glo * x
8glox + log(8)(x + 2) = 2

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

Reorder the terms for easier multiplication:
8glox + 8glo(2 + x) = 2
8glox + (2 * 8glo + x * 8glo) = 2
8glox + (16glo + 8glox) = 2

Reorder the terms:
16glo + 8glox + 8glox = 2

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

Solving
16glo + 16glox = 2

Solving for variable 'g'.

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

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

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

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

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 8glo + 8glox)' equal to zero and attempt to solve:

Simplifying
-1 + 8glo + 8glox = 0

Solving
-1 + 8glo + 8glox = 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 + 8glox = 0 + 1

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

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

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