3log[2](4x+8)+2=20

Solution for 3log[2](4x+8)+2=20 equation:

Simplifying
3log[2](4x + 8) + 2 = 20

Reorder the terms:
3glo * 2(8 + 4x) + 2 = 20

Reorder the terms for easier multiplication:
3 * 2glo(8 + 4x) + 2 = 20

Multiply 3 * 2
6glo(8 + 4x) + 2 = 20
(8 * 6glo + 4x * 6glo) + 2 = 20
(48glo + 24glox) + 2 = 20

Reorder the terms:
2 + 48glo + 24glox = 20

Solving
2 + 48glo + 24glox = 20

Solving for variable 'g'.

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

Add '-2' to each side of the equation.
2 + 48glo + -2 + 24glox = 20 + -2

Reorder the terms:
2 + -2 + 48glo + 24glox = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 48glo + 24glox = 20 + -2
48glo + 24glox = 20 + -2

Combine like terms: 20 + -2 = 18
48glo + 24glox = 18

Reorder the terms:
-18 + 48glo + 24glox = 18 + -18

Combine like terms: 18 + -18 = 0
-18 + 48glo + 24glox = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-3 + 8glo + 4glox) = 0

Ignore the factor 6.
Subproblem 1
Set the factor '(-3 + 8glo + 4glox)' equal to zero and attempt to solve:

Simplifying
-3 + 8glo + 4glox = 0

Solving
-3 + 8glo + 4glox = 0

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

Add '3' to each side of the equation.
-3 + 8glo + 3 + 4glox = 0 + 3

Reorder the terms:
-3 + 3 + 8glo + 4glox = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 8glo + 4glox = 0 + 3
8glo + 4glox = 0 + 3

Combine like terms: 0 + 3 = 3
8glo + 4glox = 3

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.