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

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


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

Reorder the terms:
goL(-8 + x) + log(x + -2) = (-8 + -1x)
(-8 * goL + x * goL) + log(x + -2) = (-8 + -1x)
(-8goL + goxL) + log(x + -2) = (-8 + -1x)

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

Reorder the terms:
-2glo + glox + -8goL + goxL = (-8 + -1x)

Remove parenthesis around (-8 + -1x)
-2glo + glox + -8goL + goxL = -8 + -1x

Solving
-2glo + glox + -8goL + goxL = -8 + -1x

Solving for variable 'g'.

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

Reorder the terms:
8 + -2glo + glox + -8goL + goxL + x = -8 + -1x + 8 + x

Reorder the terms:
8 + -2glo + glox + -8goL + goxL + x = -8 + 8 + -1x + x

Combine like terms: -8 + 8 = 0
8 + -2glo + glox + -8goL + goxL + x = 0 + -1x + x
8 + -2glo + glox + -8goL + goxL + x = -1x + x

Combine like terms: -1x + x = 0
8 + -2glo + glox + -8goL + goxL + x = 0

The solution to this equation could not be determined.

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