log[3](2x-9)+log[3](x+2)=1

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Solution for log[3](2x-9)+log[3](x+2)=1 equation:


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

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

Reorder the terms for easier multiplication:
3glo(-9 + 2x) + log[3](x + 2) = 1
(-9 * 3glo + 2x * 3glo) + log[3](x + 2) = 1
(-27glo + 6glox) + log[3](x + 2) = 1

Reorder the terms:
-27glo + 6glox + glo * 3(2 + x) = 1

Reorder the terms for easier multiplication:
-27glo + 6glox + 3glo(2 + x) = 1
-27glo + 6glox + (2 * 3glo + x * 3glo) = 1
-27glo + 6glox + (6glo + 3glox) = 1

Reorder the terms:
-27glo + 6glo + 6glox + 3glox = 1

Combine like terms: -27glo + 6glo = -21glo
-21glo + 6glox + 3glox = 1

Combine like terms: 6glox + 3glox = 9glox
-21glo + 9glox = 1

Solving
-21glo + 9glox = 1

Solving for variable 'g'.

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

Reorder the terms:
-1 + -21glo + 9glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -21glo + 9glox = 0

The solution to this equation could not be determined.

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