log[2](x^2-10x)-log[2](x+5)=3

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Solution for log[2](x^2-10x)-log[2](x+5)=3 equation:


Simplifying
log[2](x2 + -10x) + -1log[2](x + 5) = 3

Reorder the terms:
glo * 2(-10x + x2) + -1log[2](x + 5) = 3

Reorder the terms for easier multiplication:
2glo(-10x + x2) + -1log[2](x + 5) = 3
(-10x * 2glo + x2 * 2glo) + -1log[2](x + 5) = 3
(-20glox + 2glox2) + -1log[2](x + 5) = 3

Reorder the terms:
-20glox + 2glox2 + -1glo * 2(5 + x) = 3

Reorder the terms for easier multiplication:
-20glox + 2glox2 + -1 * 2glo(5 + x) = 3

Multiply -1 * 2
-20glox + 2glox2 + -2glo(5 + x) = 3
-20glox + 2glox2 + (5 * -2glo + x * -2glo) = 3
-20glox + 2glox2 + (-10glo + -2glox) = 3

Reorder the terms:
-10glo + -20glox + -2glox + 2glox2 = 3

Combine like terms: -20glox + -2glox = -22glox
-10glo + -22glox + 2glox2 = 3

Solving
-10glo + -22glox + 2glox2 = 3

Solving for variable 'g'.

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

Reorder the terms:
-3 + -10glo + -22glox + 2glox2 = 3 + -3

Combine like terms: 3 + -3 = 0
-3 + -10glo + -22glox + 2glox2 = 0

The solution to this equation could not be determined.

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