log(x)+log(x-4)=log(21)

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Solution for log(x)+log(x-4)=log(21) equation: 


Simplifying
log(x) + log(x + -4) = log(21)

Multiply glo * x
glox + log(x + -4) = log(21)

Reorder the terms:
glox + glo(-4 + x) = log(21)
glox + (-4 * glo + x * glo) = log(21)
glox + (-4glo + glox) = log(21)

Reorder the terms:
-4glo + glox + glox = log(21)

Combine like terms: glox + glox = 2glox
-4glo + 2glox = log(21)

Reorder the terms for easier multiplication:
-4glo + 2glox = 21glo

Solving
-4glo + 2glox = 21glo

Solving for variable 'g'.

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

Add '-21glo' to each side of the equation.
-4glo + -21glo + 2glox = 21glo + -21glo

Combine like terms: -4glo + -21glo = -25glo
-25glo + 2glox = 21glo + -21glo

Combine like terms: 21glo + -21glo = 0
-25glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-25 + 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 '(-25 + 2x)' equal to zero and attempt to solve:

Simplifying
-25 + 2x = 0

Solving
-25 + 2x = 0

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

Add '25' to each side of the equation.
-25 + 25 + 2x = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 2x = 0 + 25
2x = 0 + 25

Combine like terms: 0 + 25 = 25
2x = 25

Add '-2x' to each side of the equation.
2x + -2x = 25 + -2x

Combine like terms: 2x + -2x = 0
0 = 25 + -2x

Simplifying
0 = 25 + -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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