log[5](x+13)-log[5](x-11)=2

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Solution for log[5](x+13)-log[5](x-11)=2 equation: 


Simplifying
log[5](x + 13) + -1log[5](x + -11) = 2

Reorder the terms:
glo * 5(13 + x) + -1log[5](x + -11) = 2

Reorder the terms for easier multiplication:
5glo(13 + x) + -1log[5](x + -11) = 2
(13 * 5glo + x * 5glo) + -1log[5](x + -11) = 2
(65glo + 5glox) + -1log[5](x + -11) = 2

Reorder the terms:
65glo + 5glox + -1glo * 5(-11 + x) = 2

Reorder the terms for easier multiplication:
65glo + 5glox + -1 * 5glo(-11 + x) = 2

Multiply -1 * 5
65glo + 5glox + -5glo(-11 + x) = 2
65glo + 5glox + (-11 * -5glo + x * -5glo) = 2
65glo + 5glox + (55glo + -5glox) = 2

Reorder the terms:
65glo + 55glo + 5glox + -5glox = 2

Combine like terms: 65glo + 55glo = 120glo
120glo + 5glox + -5glox = 2

Combine like terms: 5glox + -5glox = 0
120glo + 0 = 2
120glo = 2

Solving
120glo = 2

Solving for variable 'g'.

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

Divide each side by '120lo'.
g = 0.01666666667l-1o-1

Simplifying
g = 0.01666666667l-1o-1

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