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

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


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

Multiply glo * x
glox = log(-2x + 5)

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

Solving
glox = 5glo + -2glox

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-5glo + glox = 5glo + -5glo + -2glox

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

Add '2glox' to each side of the equation.
-5glo + glox + 2glox = -2glox + 2glox

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

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

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-5 + 3x) = 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 '(-5 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 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 + 3x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + 3x = 0 + 5
3x = 0 + 5

Combine like terms: 0 + 5 = 5
3x = 5

Add '-3x' to each side of the equation.
3x + -3x = 5 + -3x

Combine like terms: 3x + -3x = 0
0 = 5 + -3x

Simplifying
0 = 5 + -3x

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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