log(x)+log(x+2)=log(15)

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Solution for log(x)+log(x+2)=log(15) equation: 


Simplifying
log(x) + log(x + 2) = log(15)

Multiply glo * x
glox + log(x + 2) = log(15)

Reorder the terms:
glox + glo(2 + x) = log(15)
glox + (2 * glo + x * glo) = log(15)
glox + (2glo + glox) = log(15)

Reorder the terms:
2glo + glox + glox = log(15)

Combine like terms: glox + glox = 2glox
2glo + 2glox = log(15)

Reorder the terms for easier multiplication:
2glo + 2glox = 15glo

Solving
2glo + 2glox = 15glo

Solving for variable 'g'.

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

Add '-15glo' to each side of the equation.
2glo + -15glo + 2glox = 15glo + -15glo

Combine like terms: 2glo + -15glo = -13glo
-13glo + 2glox = 15glo + -15glo

Combine like terms: 15glo + -15glo = 0
-13glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-13 + 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 '(-13 + 2x)' equal to zero and attempt to solve:

Simplifying
-13 + 2x = 0

Solving
-13 + 2x = 0

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

Add '13' to each side of the equation.
-13 + 13 + 2x = 0 + 13

Combine like terms: -13 + 13 = 0
0 + 2x = 0 + 13
2x = 0 + 13

Combine like terms: 0 + 13 = 13
2x = 13

Add '-2x' to each side of the equation.
2x + -2x = 13 + -2x

Combine like terms: 2x + -2x = 0
0 = 13 + -2x

Simplifying
0 = 13 + -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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