log(8)(x+5)-log(8)(x-2)=1

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Solution for log(8)(x+5)-log(8)(x-2)=1 equation:


Simplifying
log(8)(x + 5) + -1log(8)(x + -2) = 1

Reorder the terms:
glo * 8(5 + x) + -1log(8)(x + -2) = 1

Reorder the terms for easier multiplication:
8glo(5 + x) + -1log(8)(x + -2) = 1
(5 * 8glo + x * 8glo) + -1log(8)(x + -2) = 1
(40glo + 8glox) + -1log(8)(x + -2) = 1

Reorder the terms:
40glo + 8glox + -1glo * 8(-2 + x) = 1

Reorder the terms for easier multiplication:
40glo + 8glox + -1 * 8glo(-2 + x) = 1

Multiply -1 * 8
40glo + 8glox + -8glo(-2 + x) = 1
40glo + 8glox + (-2 * -8glo + x * -8glo) = 1
40glo + 8glox + (16glo + -8glox) = 1

Reorder the terms:
40glo + 16glo + 8glox + -8glox = 1

Combine like terms: 40glo + 16glo = 56glo
56glo + 8glox + -8glox = 1

Combine like terms: 8glox + -8glox = 0
56glo + 0 = 1
56glo = 1

Solving
56glo = 1

Solving for variable 'g'.

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

Divide each side by '56lo'.
g = 0.01785714286l-1o-1

Simplifying
g = 0.01785714286l-1o-1

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