log(x-2)-log(2x-9)=0

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Solution for log(x-2)-log(2x-9)=0 equation: 


Simplifying
log(x + -2) + -1log(2x + -9) = 0

Reorder the terms:
glo(-2 + x) + -1log(2x + -9) = 0
(-2 * glo + x * glo) + -1log(2x + -9) = 0
(-2glo + glox) + -1log(2x + -9) = 0

Reorder the terms:
-2glo + glox + -1glo(-9 + 2x) = 0
-2glo + glox + (-9 * -1glo + 2x * -1glo) = 0
-2glo + glox + (9glo + -2glox) = 0

Reorder the terms:
-2glo + 9glo + glox + -2glox = 0

Combine like terms: -2glo + 9glo = 7glo
7glo + glox + -2glox = 0

Combine like terms: glox + -2glox = -1glox
7glo + -1glox = 0

Solving
7glo + -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(7 + -1x) = 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 '(7 + -1x)' equal to zero and attempt to solve:

Simplifying
7 + -1x = 0

Solving
7 + -1x = 0

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

Add '-7' to each side of the equation.
7 + -7 + -1x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1x = 0 + -7
-1x = 0 + -7

Combine like terms: 0 + -7 = -7
-1x = -7

Add 'x' to each side of the equation.
-1x + x = -7 + x

Combine like terms: -1x + x = 0
0 = -7 + x

Simplifying
0 = -7 + x

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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