log(x+1)+log(x-2)=log(18)

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Solution for log(x+1)+log(x-2)=log(18) equation: 


Simplifying
log(x + 1) + log(x + -2) = log(18)

Reorder the terms:
glo(1 + x) + log(x + -2) = log(18)
(1 * glo + x * glo) + log(x + -2) = log(18)
(1glo + glox) + log(x + -2) = log(18)

Reorder the terms:
1glo + glox + glo(-2 + x) = log(18)
1glo + glox + (-2 * glo + x * glo) = log(18)
1glo + glox + (-2glo + glox) = log(18)

Reorder the terms:
1glo + -2glo + glox + glox = log(18)

Combine like terms: 1glo + -2glo = -1glo
-1glo + glox + glox = log(18)

Combine like terms: glox + glox = 2glox
-1glo + 2glox = log(18)

Reorder the terms for easier multiplication:
-1glo + 2glox = 18glo

Solving
-1glo + 2glox = 18glo

Solving for variable 'g'.

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

Add '-18glo' to each side of the equation.
-1glo + -18glo + 2glox = 18glo + -18glo

Combine like terms: -1glo + -18glo = -19glo
-19glo + 2glox = 18glo + -18glo

Combine like terms: 18glo + -18glo = 0
-19glo + 2glox = 0

Factor out the Greatest Common Factor (GCF), 'glo'.
glo(-19 + 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 '(-19 + 2x)' equal to zero and attempt to solve:

Simplifying
-19 + 2x = 0

Solving
-19 + 2x = 0

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

Add '19' to each side of the equation.
-19 + 19 + 2x = 0 + 19

Combine like terms: -19 + 19 = 0
0 + 2x = 0 + 19
2x = 0 + 19

Combine like terms: 0 + 19 = 19
2x = 19

Add '-2x' to each side of the equation.
2x + -2x = 19 + -2x

Combine like terms: 2x + -2x = 0
0 = 19 + -2x

Simplifying
0 = 19 + -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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