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

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


Simplifying
log(x + 8) + lox(x + -8) = 2

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

Reorder the terms:
8glo + glox + lox(-8 + x) = 2
8glo + glox + (-8 * lox + x * lox) = 2
8glo + glox + (-8lox + lox2) = 2

Solving
8glo + glox + -8lox + lox2 = 2

Solving for variable 'g'.

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

Add '8lox' to each side of the equation.
8glo + glox + -8lox + 8lox + lox2 = 2 + 8lox

Combine like terms: -8lox + 8lox = 0
8glo + glox + 0 + lox2 = 2 + 8lox
8glo + glox + lox2 = 2 + 8lox

Add '-1lox2' to each side of the equation.
8glo + glox + lox2 + -1lox2 = 2 + 8lox + -1lox2

Combine like terms: lox2 + -1lox2 = 0
8glo + glox + 0 = 2 + 8lox + -1lox2
8glo + glox = 2 + 8lox + -1lox2

Reorder the terms:
-2 + 8glo + glox + -8lox + lox2 = 2 + 8lox + -1lox2 + -2 + -8lox + lox2

Reorder the terms:
-2 + 8glo + glox + -8lox + lox2 = 2 + -2 + 8lox + -8lox + -1lox2 + lox2

Combine like terms: 2 + -2 = 0
-2 + 8glo + glox + -8lox + lox2 = 0 + 8lox + -8lox + -1lox2 + lox2
-2 + 8glo + glox + -8lox + lox2 = 8lox + -8lox + -1lox2 + lox2

Combine like terms: 8lox + -8lox = 0
-2 + 8glo + glox + -8lox + lox2 = 0 + -1lox2 + lox2
-2 + 8glo + glox + -8lox + lox2 = -1lox2 + lox2

Combine like terms: -1lox2 + lox2 = 0
-2 + 8glo + glox + -8lox + lox2 = 0

The solution to this equation could not be determined.

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