logx+log(x-23)=log(50)

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Solution for logx+log(x-23)=log(50) equation: 


Simplifying
logx + log(x + -23) = log(50)

Reorder the terms:
glox + glo(-23 + x) = log(50)
glox + (-23 * glo + x * glo) = log(50)
glox + (-23glo + glox) = log(50)

Reorder the terms:
-23glo + glox + glox = log(50)

Combine like terms: glox + glox = 2glox
-23glo + 2glox = log(50)

Reorder the terms for easier multiplication:
-23glo + 2glox = 50glo

Solving
-23glo + 2glox = 50glo

Solving for variable 'g'.

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

Add '-50glo' to each side of the equation.
-23glo + -50glo + 2glox = 50glo + -50glo

Combine like terms: -23glo + -50glo = -73glo
-73glo + 2glox = 50glo + -50glo

Combine like terms: 50glo + -50glo = 0
-73glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-73 + 2x) = 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 '(-73 + 2x)' equal to zero and attempt to solve:

Simplifying
-73 + 2x = 0

Solving
-73 + 2x = 0

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

Add '73' to each side of the equation.
-73 + 73 + 2x = 0 + 73

Combine like terms: -73 + 73 = 0
0 + 2x = 0 + 73
2x = 0 + 73

Combine like terms: 0 + 73 = 73
2x = 73

Add '-2x' to each side of the equation.
2x + -2x = 73 + -2x

Combine like terms: 2x + -2x = 0
0 = 73 + -2x

Simplifying
0 = 73 + -2x

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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