log(9)(x+1)-log(9)(x-3)=log(9)(15)

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Solution for log(9)(x+1)-log(9)(x-3)=log(9)(15) equation:


Simplifying
log(9)(x + 1) + -1log(9)(x + -3) = log(9)(15)

Reorder the terms:
glo * 9(1 + x) + -1log(9)(x + -3) = log(9)(15)

Reorder the terms for easier multiplication:
9glo(1 + x) + -1log(9)(x + -3) = log(9)(15)
(1 * 9glo + x * 9glo) + -1log(9)(x + -3) = log(9)(15)
(9glo + 9glox) + -1log(9)(x + -3) = log(9)(15)

Reorder the terms:
9glo + 9glox + -1glo * 9(-3 + x) = log(9)(15)

Reorder the terms for easier multiplication:
9glo + 9glox + -1 * 9glo(-3 + x) = log(9)(15)

Multiply -1 * 9
9glo + 9glox + -9glo(-3 + x) = log(9)(15)
9glo + 9glox + (-3 * -9glo + x * -9glo) = log(9)(15)
9glo + 9glox + (27glo + -9glox) = log(9)(15)

Reorder the terms:
9glo + 27glo + 9glox + -9glox = log(9)(15)

Combine like terms: 9glo + 27glo = 36glo
36glo + 9glox + -9glox = log(9)(15)

Combine like terms: 9glox + -9glox = 0
36glo + 0 = log(9)(15)
36glo = log(9)(15)

Reorder the terms for easier multiplication:
36glo = 9 * 15glo

Multiply 9 * 15
36glo = 135glo

Solving
36glo = 135glo

Solving for variable 'g'.

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

Add '-135glo' to each side of the equation.
36glo + -135glo = 135glo + -135glo

Combine like terms: 36glo + -135glo = -99glo
-99glo = 135glo + -135glo

Combine like terms: 135glo + -135glo = 0
-99glo = 0

Divide each side by '-99'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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