log(2x-2)-log(x-5)=0

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Solution for log(2x-2)-log(x-5)=0 equation: 


Simplifying
log(2x + -2) + -1log(x + -5) = 0

Reorder the terms:
glo(-2 + 2x) + -1log(x + -5) = 0
(-2 * glo + 2x * glo) + -1log(x + -5) = 0
(-2glo + 2glox) + -1log(x + -5) = 0

Reorder the terms:
-2glo + 2glox + -1glo(-5 + x) = 0
-2glo + 2glox + (-5 * -1glo + x * -1glo) = 0
-2glo + 2glox + (5glo + -1glox) = 0

Reorder the terms:
-2glo + 5glo + 2glox + -1glox = 0

Combine like terms: -2glo + 5glo = 3glo
3glo + 2glox + -1glox = 0

Combine like terms: 2glox + -1glox = 1glox
3glo + 1glox = 0

Solving
3glo + 1glox = 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(3 + x) = 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 '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Add '-1x' to each side of the equation.
x + -1x = -3 + -1x

Combine like terms: x + -1x = 0
0 = -3 + -1x

Simplifying
0 = -3 + -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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