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

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


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

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

Multiply glo * x
-2glo + glox + glox + -1log(8) = 0

Reorder the terms for easier multiplication:
-2glo + glox + glox + -1 * 8glo = 0

Multiply -1 * 8
-2glo + glox + glox + -8glo = 0

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

Combine like terms: -2glo + -8glo = -10glo
-10glo + glox + glox = 0

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

Solving
-10glo + 2glox = 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), '2glo'.
2glo(-5 + x) = 0

Ignore the factor 2.

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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -1x 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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