2=log(9)(x-2)-log(9)(2x-5)

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Solution for 2=log(9)(x-2)-log(9)(2x-5) equation: 


Simplifying
2 = log(9)(x + -2) + -1log(9)(2x + -5)

Reorder the terms:
2 = glo * 9(-2 + x) + -1log(9)(2x + -5)

Reorder the terms for easier multiplication:
2 = 9glo(-2 + x) + -1log(9)(2x + -5)
2 = (-2 * 9glo + x * 9glo) + -1log(9)(2x + -5)
2 = (-18glo + 9glox) + -1log(9)(2x + -5)

Reorder the terms:
2 = -18glo + 9glox + -1glo * 9(-5 + 2x)

Reorder the terms for easier multiplication:
2 = -18glo + 9glox + -1 * 9glo(-5 + 2x)

Multiply -1 * 9
2 = -18glo + 9glox + -9glo(-5 + 2x)
2 = -18glo + 9glox + (-5 * -9glo + 2x * -9glo)
2 = -18glo + 9glox + (45glo + -18glox)

Reorder the terms:
2 = -18glo + 45glo + 9glox + -18glox

Combine like terms: -18glo + 45glo = 27glo
2 = 27glo + 9glox + -18glox

Combine like terms: 9glox + -18glox = -9glox
2 = 27glo + -9glox

Solving
2 = 27glo + -9glox

Solving for variable 'g'.

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

Add '-27glo' to each side of the equation.
2 + -27glo = 27glo + -27glo + -9glox

Combine like terms: 27glo + -27glo = 0
2 + -27glo = 0 + -9glox
2 + -27glo = -9glox

Add '9glox' to each side of the equation.
2 + -27glo + 9glox = -9glox + 9glox

Combine like terms: -9glox + 9glox = 0
2 + -27glo + 9glox = 0

Add '-2' to each side of the equation.
2 + -27glo + -2 + 9glox = 0 + -2

Reorder the terms:
2 + -2 + -27glo + 9glox = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -27glo + 9glox = 0 + -2
-27glo + 9glox = 0 + -2

Combine like terms: 0 + -2 = -2
-27glo + 9glox = -2

Reorder the terms:
2 + -27glo + 9glox = -2 + 2

Combine like terms: -2 + 2 = 0
2 + -27glo + 9glox = 0

The solution to this equation could not be determined.

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