log(x)+log(x+9)=log(36)

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Solution for log(x)+log(x+9)=log(36) equation: 


Simplifying
log(x) + log(x + 9) = log(36)

Multiply glo * x
glox + log(x + 9) = log(36)

Reorder the terms:
glox + glo(9 + x) = log(36)
glox + (9 * glo + x * glo) = log(36)
glox + (9glo + glox) = log(36)

Reorder the terms:
9glo + glox + glox = log(36)

Combine like terms: glox + glox = 2glox
9glo + 2glox = log(36)

Reorder the terms for easier multiplication:
9glo + 2glox = 36glo

Solving
9glo + 2glox = 36glo

Solving for variable 'g'.

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

Add '-36glo' to each side of the equation.
9glo + -36glo + 2glox = 36glo + -36glo

Combine like terms: 9glo + -36glo = -27glo
-27glo + 2glox = 36glo + -36glo

Combine like terms: 36glo + -36glo = 0
-27glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-27 + 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 '(-27 + 2x)' equal to zero and attempt to solve:

Simplifying
-27 + 2x = 0

Solving
-27 + 2x = 0

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

Add '27' to each side of the equation.
-27 + 27 + 2x = 0 + 27

Combine like terms: -27 + 27 = 0
0 + 2x = 0 + 27
2x = 0 + 27

Combine like terms: 0 + 27 = 27
2x = 27

Add '-2x' to each side of the equation.
2x + -2x = 27 + -2x

Combine like terms: 2x + -2x = 0
0 = 27 + -2x

Simplifying
0 = 27 + -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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