log(9)(x+2)-log(3)(x)=0

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Solution for log(9)(x+2)-log(3)(x)=0 equation:


Simplifying
log(9)(x + 2) + -1log(3)(x) = 0

Reorder the terms:
glo * 9(2 + x) + -1log(3)(x) = 0

Reorder the terms for easier multiplication:
9glo(2 + x) + -1log(3)(x) = 0
(2 * 9glo + x * 9glo) + -1log(3)(x) = 0
(18glo + 9glox) + -1log(3)(x) = 0

Reorder the terms for easier multiplication:
18glo + 9glox + -1 * 3glo * x = 0

Multiply -1 * 3
18glo + 9glox + -3glo * x = 0

Multiply glo * x
18glo + 9glox + -3glox = 0

Combine like terms: 9glox + -3glox = 6glox
18glo + 6glox = 0

Solving
18glo + 6glox = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), '6glo'.
6glo(3 + x) = 0

Ignore the factor 6.

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Add '-1x' to each side of the equation. x + -1x = -3 + -1x Combine like terms: x + -1x = 0 0 = -3 + -1x Simplifying 0 = -3 + -1x 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.

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