log(3)3+log(3)(x+1)-log(3)(2x-7)=4

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Solution for log(3)3+log(3)(x+1)-log(3)(2x-7)=4 equation:


Simplifying
log(3) * 3 + log(3)(x + 1) + -1log(3)(2x + -7) = 4

Reorder the terms for easier multiplication:
3 * 3glo + log(3)(x + 1) + -1log(3)(2x + -7) = 4

Multiply 3 * 3
9glo + log(3)(x + 1) + -1log(3)(2x + -7) = 4

Reorder the terms:
9glo + glo * 3(1 + x) + -1log(3)(2x + -7) = 4

Reorder the terms for easier multiplication:
9glo + 3glo(1 + x) + -1log(3)(2x + -7) = 4
9glo + (1 * 3glo + x * 3glo) + -1log(3)(2x + -7) = 4
9glo + (3glo + 3glox) + -1log(3)(2x + -7) = 4

Reorder the terms:
9glo + 3glo + 3glox + -1glo * 3(-7 + 2x) = 4

Reorder the terms for easier multiplication:
9glo + 3glo + 3glox + -1 * 3glo(-7 + 2x) = 4

Multiply -1 * 3
9glo + 3glo + 3glox + -3glo(-7 + 2x) = 4
9glo + 3glo + 3glox + (-7 * -3glo + 2x * -3glo) = 4
9glo + 3glo + 3glox + (21glo + -6glox) = 4

Reorder the terms:
9glo + 3glo + 21glo + 3glox + -6glox = 4

Combine like terms: 9glo + 3glo = 12glo
12glo + 21glo + 3glox + -6glox = 4

Combine like terms: 12glo + 21glo = 33glo
33glo + 3glox + -6glox = 4

Combine like terms: 3glox + -6glox = -3glox
33glo + -3glox = 4

Solving
33glo + -3glox = 4

Solving for variable 'g'.

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

Reorder the terms:
-4 + 33glo + -3glox = 4 + -4

Combine like terms: 4 + -4 = 0
-4 + 33glo + -3glox = 0

The solution to this equation could not be determined.

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