log(9)(x)+log(9)(x+24)=2

Solution for log(9)(x)+log(9)(x+24)=2 equation:

Simplifying
log(9)(x) + log(9)(x + 24) = 2

Reorder the terms for easier multiplication:
9glo * x + log(9)(x + 24) = 2

Multiply glo * x
9glox + log(9)(x + 24) = 2

Reorder the terms:
9glox + glo * 9(24 + x) = 2

Reorder the terms for easier multiplication:
9glox + 9glo(24 + x) = 2
9glox + (24 * 9glo + x * 9glo) = 2
9glox + (216glo + 9glox) = 2

Reorder the terms:
216glo + 9glox + 9glox = 2

Combine like terms: 9glox + 9glox = 18glox
216glo + 18glox = 2

Solving
216glo + 18glox = 2

Solving for variable 'g'.

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

Reorder the terms:
-2 + 216glo + 18glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + 216glo + 18glox = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-1 + 108glo + 9glox) = 0

Ignore the factor 2.
Subproblem 1
Set the factor '(-1 + 108glo + 9glox)' equal to zero and attempt to solve:

Simplifying
-1 + 108glo + 9glox = 0

Solving
-1 + 108glo + 9glox = 0

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

Add '1' to each side of the equation.
-1 + 108glo + 1 + 9glox = 0 + 1

Reorder the terms:
-1 + 1 + 108glo + 9glox = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 108glo + 9glox = 0 + 1
108glo + 9glox = 0 + 1

Combine like terms: 0 + 1 = 1
108glo + 9glox = 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.