log[3](x+15)-log[3](x-11)=3

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Solution for log[3](x+15)-log[3](x-11)=3 equation: 


Simplifying
log[3](x + 15) + -1log[3](x + -11) = 3

Reorder the terms:
glo * 3(15 + x) + -1log[3](x + -11) = 3

Reorder the terms for easier multiplication:
3glo(15 + x) + -1log[3](x + -11) = 3
(15 * 3glo + x * 3glo) + -1log[3](x + -11) = 3
(45glo + 3glox) + -1log[3](x + -11) = 3

Reorder the terms:
45glo + 3glox + -1glo * 3(-11 + x) = 3

Reorder the terms for easier multiplication:
45glo + 3glox + -1 * 3glo(-11 + x) = 3

Multiply -1 * 3
45glo + 3glox + -3glo(-11 + x) = 3
45glo + 3glox + (-11 * -3glo + x * -3glo) = 3
45glo + 3glox + (33glo + -3glox) = 3

Reorder the terms:
45glo + 33glo + 3glox + -3glox = 3

Combine like terms: 45glo + 33glo = 78glo
78glo + 3glox + -3glox = 3

Combine like terms: 3glox + -3glox = 0
78glo + 0 = 3
78glo = 3

Solving
78glo = 3

Solving for variable 'g'.

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

Divide each side by '78lo'.
g = 0.03846153846l-1o-1

Simplifying
g = 0.03846153846l-1o-1

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