log(x+2)+log(x-5)=log(8)

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Solution for log(x+2)+log(x-5)=log(8) equation: 


Simplifying
log(x + 2) + log(x + -5) = log(8)

Reorder the terms:
glo(2 + x) + log(x + -5) = log(8)
(2 * glo + x * glo) + log(x + -5) = log(8)
(2glo + glox) + log(x + -5) = log(8)

Reorder the terms:
2glo + glox + glo(-5 + x) = log(8)
2glo + glox + (-5 * glo + x * glo) = log(8)
2glo + glox + (-5glo + glox) = log(8)

Reorder the terms:
2glo + -5glo + glox + glox = log(8)

Combine like terms: 2glo + -5glo = -3glo
-3glo + glox + glox = log(8)

Combine like terms: glox + glox = 2glox
-3glo + 2glox = log(8)

Reorder the terms for easier multiplication:
-3glo + 2glox = 8glo

Solving
-3glo + 2glox = 8glo

Solving for variable 'g'.

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

Add '-8glo' to each side of the equation.
-3glo + -8glo + 2glox = 8glo + -8glo

Combine like terms: -3glo + -8glo = -11glo
-11glo + 2glox = 8glo + -8glo

Combine like terms: 8glo + -8glo = 0
-11glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-11 + 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 '(-11 + 2x)' equal to zero and attempt to solve:

Simplifying
-11 + 2x = 0

Solving
-11 + 2x = 0

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

Add '11' to each side of the equation.
-11 + 11 + 2x = 0 + 11

Combine like terms: -11 + 11 = 0
0 + 2x = 0 + 11
2x = 0 + 11

Combine like terms: 0 + 11 = 11
2x = 11

Add '-2x' to each side of the equation.
2x + -2x = 11 + -2x

Combine like terms: 2x + -2x = 0
0 = 11 + -2x

Simplifying
0 = 11 + -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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