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

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


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

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

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

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

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

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

Reorder the terms:
-40glo + 8glo + 8glox + -8glox = 2

Combine like terms: -40glo + 8glo = -32glo
-32glo + 8glox + -8glox = 2

Combine like terms: 8glox + -8glox = 0
-32glo + 0 = 2
-32glo = 2

Solving
-32glo = 2

Solving for variable 'g'.

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

Divide each side by '-32lo'.
g = -0.0625l-1o-1

Simplifying
g = -0.0625l-1o-1

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