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

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


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

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

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

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

Combine like terms: -8glo + 2glo = -6glo
-6glo + -1glox + glox3 = 0

Solving
-6glo + -1glox + glox3 = 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(-6 + -1x + x3) = 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 '(-6 + -1x + x3)' equal to zero and attempt to solve: Simplifying -6 + -1x + x3 = 0 Solving -6 + -1x + x3 = 0 Move all terms containing g to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1x + 6 + x3 = 0 + 6 Reorder the terms: -6 + 6 + -1x + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x + x3 = 0 + 6 -1x + x3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1x + x3 = 6 Add 'x' to each side of the equation. -1x + x + x3 = 6 + x Combine like terms: -1x + x = 0 0 + x3 = 6 + x x3 = 6 + x Add '-1x3' to each side of the equation. x3 + -1x3 = 6 + x + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 6 + x + -1x3 Simplifying 0 = 6 + x + -1x3 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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