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

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Solution for log(x-2)+log(x)-log(8)=0 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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