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 = -17glo
-17glo + 2glox = 21glo + -21glo

Combine like terms: 21glo + -21glo = 0
-17glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-17 + 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 '(-17 + 2x)' equal to zero and attempt to solve:

Simplifying
-17 + 2x = 0

Solving
-17 + 2x = 0

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

Add '17' to each side of the equation.
-17 + 17 + 2x = 0 + 17

Combine like terms: -17 + 17 = 0
0 + 2x = 0 + 17
2x = 0 + 17

Combine like terms: 0 + 17 = 17
2x = 17

Add '-2x' to each side of the equation.
2x + -2x = 17 + -2x

Combine like terms: 2x + -2x = 0
0 = 17 + -2x

Simplifying
0 = 17 + -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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