log(8)(x+2)-log(8)(x-10)=2

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Solution for log(8)(x+2)-log(8)(x-10)=2 equation:


Simplifying
log(8)(x + 2) + -1log(8)(x + -10) = 2

Reorder the terms:
glo * 8(2 + x) + -1log(8)(x + -10) = 2

Reorder the terms for easier multiplication:
8glo(2 + x) + -1log(8)(x + -10) = 2
(2 * 8glo + x * 8glo) + -1log(8)(x + -10) = 2
(16glo + 8glox) + -1log(8)(x + -10) = 2

Reorder the terms:
16glo + 8glox + -1glo * 8(-10 + x) = 2

Reorder the terms for easier multiplication:
16glo + 8glox + -1 * 8glo(-10 + x) = 2

Multiply -1 * 8
16glo + 8glox + -8glo(-10 + x) = 2
16glo + 8glox + (-10 * -8glo + x * -8glo) = 2
16glo + 8glox + (80glo + -8glox) = 2

Reorder the terms:
16glo + 80glo + 8glox + -8glox = 2

Combine like terms: 16glo + 80glo = 96glo
96glo + 8glox + -8glox = 2

Combine like terms: 8glox + -8glox = 0
96glo + 0 = 2
96glo = 2

Solving
96glo = 2

Solving for variable 'g'.

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

Divide each side by '96lo'.
g = 0.02083333333l-1o-1

Simplifying
g = 0.02083333333l-1o-1

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