log(x+2)+log(x-2)-log(x^3-8)=

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


Simplifying
log(x + 2) + log(x + -2) + -1log(x3 + -8) = 0

Reorder the terms:
glo(2 + x) + log(x + -2) + -1log(x3 + -8) = 0
(2 * glo + x * glo) + log(x + -2) + -1log(x3 + -8) = 0
(2glo + glox) + log(x + -2) + -1log(x3 + -8) = 0

Reorder the terms:
2glo + glox + glo(-2 + x) + -1log(x3 + -8) = 0
2glo + glox + (-2 * glo + x * glo) + -1log(x3 + -8) = 0
2glo + glox + (-2glo + glox) + -1log(x3 + -8) = 0

Reorder the terms:
2glo + glox + -2glo + glox + -1glo(-8 + x3) = 0
2glo + glox + -2glo + glox + (-8 * -1glo + x3 * -1glo) = 0
2glo + glox + -2glo + glox + (8glo + -1glox3) = 0

Reorder the terms:
2glo + -2glo + 8glo + glox + glox + -1glox3 = 0

Combine like terms: 2glo + -2glo = 0
0 + 8glo + glox + glox + -1glox3 = 0
8glo + glox + glox + -1glox3 = 0

Combine like terms: glox + glox = 2glox
8glo + 2glox + -1glox3 = 0

Solving
8glo + 2glox + -1glox3 = 0

Solving for variable 'g'.

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(8 + 2x + -1x3) = 0

Subproblem 1

Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(8 + 2x + -1x3)' equal to zero and attempt to solve: Simplifying 8 + 2x + -1x3 = 0 Solving 8 + 2x + -1x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 2x + -8 + -1x3 = 0 + -8 Reorder the terms: 8 + -8 + 2x + -1x3 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + -1x3 = 0 + -8 2x + -1x3 = 0 + -8 Combine like terms: 0 + -8 = -8 2x + -1x3 = -8 Add '-2x' to each side of the equation. 2x + -2x + -1x3 = -8 + -2x Combine like terms: 2x + -2x = 0 0 + -1x3 = -8 + -2x -1x3 = -8 + -2x Add 'x3' to each side of the equation. -1x3 + x3 = -8 + -2x + x3 Combine like terms: -1x3 + x3 = 0 0 = -8 + -2x + x3 Simplifying 0 = -8 + -2x + x3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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