log[2](x^2-9x+8)-log[2](x-8)=3

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Solution for log[2](x^2-9x+8)-log[2](x-8)=3 equation:


Simplifying
log[2](x2 + -9x + 8) + -1log[2](x + -8) = 3

Reorder the terms:
glo * 2(8 + -9x + x2) + -1log[2](x + -8) = 3

Reorder the terms for easier multiplication:
2glo(8 + -9x + x2) + -1log[2](x + -8) = 3
(8 * 2glo + -9x * 2glo + x2 * 2glo) + -1log[2](x + -8) = 3
(16glo + -18glox + 2glox2) + -1log[2](x + -8) = 3

Reorder the terms:
16glo + -18glox + 2glox2 + -1glo * 2(-8 + x) = 3

Reorder the terms for easier multiplication:
16glo + -18glox + 2glox2 + -1 * 2glo(-8 + x) = 3

Multiply -1 * 2
16glo + -18glox + 2glox2 + -2glo(-8 + x) = 3
16glo + -18glox + 2glox2 + (-8 * -2glo + x * -2glo) = 3
16glo + -18glox + 2glox2 + (16glo + -2glox) = 3

Reorder the terms:
16glo + 16glo + -18glox + -2glox + 2glox2 = 3

Combine like terms: 16glo + 16glo = 32glo
32glo + -18glox + -2glox + 2glox2 = 3

Combine like terms: -18glox + -2glox = -20glox
32glo + -20glox + 2glox2 = 3

Solving
32glo + -20glox + 2glox2 = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + 32glo + -20glox + 2glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + 32glo + -20glox + 2glox2 = 0

The solution to this equation could not be determined.

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