log(3)(2x+1)+log(3)(x+8)=3

Solution for log(3)(2x+1)+log(3)(x+8)=3 equation:

Simplifying
log(3)(2x + 1) + log(3)(x + 8) = 3

Reorder the terms:
glo * 3(1 + 2x) + log(3)(x + 8) = 3

Reorder the terms for easier multiplication:
3glo(1 + 2x) + log(3)(x + 8) = 3
(1 * 3glo + 2x * 3glo) + log(3)(x + 8) = 3
(3glo + 6glox) + log(3)(x + 8) = 3

Reorder the terms:
3glo + 6glox + glo * 3(8 + x) = 3

Reorder the terms for easier multiplication:
3glo + 6glox + 3glo(8 + x) = 3
3glo + 6glox + (8 * 3glo + x * 3glo) = 3
3glo + 6glox + (24glo + 3glox) = 3

Reorder the terms:
3glo + 24glo + 6glox + 3glox = 3

Combine like terms: 3glo + 24glo = 27glo
27glo + 6glox + 3glox = 3

Combine like terms: 6glox + 3glox = 9glox
27glo + 9glox = 3

Solving
27glo + 9glox = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 27glo + 9glox = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 27glo + 9glox = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 9glo + 3glox) = 0

Ignore the factor 3.
Subproblem 1
Set the factor '(-1 + 9glo + 3glox)' equal to zero and attempt to solve:

Simplifying
-1 + 9glo + 3glox = 0

Solving
-1 + 9glo + 3glox = 0

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

Add '1' to each side of the equation.
-1 + 9glo + 1 + 3glox = 0 + 1

Reorder the terms:
-1 + 1 + 9glo + 3glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 9glo + 3glox = 0 + 1
9glo + 3glox = 0 + 1

Combine like terms: 0 + 1 = 1
9glo + 3glox = 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.