log(8)(x+2)+log(8)(3)=2

Solution for log(8)(x+2)+log(8)(3)=2 equation:

Simplifying
log(8)(x + 2) + log(8)(3) = 2

Reorder the terms:
glo * 8(2 + x) + log(8)(3) = 2

Reorder the terms for easier multiplication:
8glo(2 + x) + log(8)(3) = 2
(2 * 8glo + x * 8glo) + log(8)(3) = 2
(16glo + 8glox) + log(8)(3) = 2

Reorder the terms for easier multiplication:
16glo + 8glox + 8 * 3glo = 2

Multiply 8 * 3
16glo + 8glox + 24glo = 2

Reorder the terms:
16glo + 24glo + 8glox = 2

Combine like terms: 16glo + 24glo = 40glo
40glo + 8glox = 2

Solving
40glo + 8glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 40glo + 8glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 40glo + 8glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 20glo + 4glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 20glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-1 + 20glo + 4glox = 0

Solving
-1 + 20glo + 4glox = 0

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

Add '1' to each side of the equation.
-1 + 20glo + 1 + 4glox = 0 + 1

Reorder the terms:
-1 + 1 + 20glo + 4glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 20glo + 4glox = 0 + 1
20glo + 4glox = 0 + 1

Combine like terms: 0 + 1 = 1
20glo + 4glox = 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.