Log(x+2)+log(x-1)=log(10)

Solution for Log(x+2)+log(x-1)=log(10) equation:

Simplifying
Log(x + 2) + log(x + -1) = log(10)

Reorder the terms:
goL(2 + x) + log(x + -1) = log(10)
(2 * goL + x * goL) + log(x + -1) = log(10)
(2goL + goxL) + log(x + -1) = log(10)

Reorder the terms:
2goL + goxL + glo(-1 + x) = log(10)
2goL + goxL + (-1 * glo + x * glo) = log(10)
2goL + goxL + (-1glo + glox) = log(10)

Reorder the terms:
-1glo + glox + 2goL + goxL = log(10)

Reorder the terms for easier multiplication:
-1glo + glox + 2goL + goxL = 10glo

Solving
-1glo + glox + 2goL + goxL = 10glo

Solving for variable 'g'.

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

Add '-10glo' to each side of the equation.
-1glo + glox + 2goL + -10glo + goxL = 10glo + -10glo

Reorder the terms:
-1glo + -10glo + glox + 2goL + goxL = 10glo + -10glo

Combine like terms: -1glo + -10glo = -11glo
-11glo + glox + 2goL + goxL = 10glo + -10glo

Combine like terms: 10glo + -10glo = 0
-11glo + glox + 2goL + goxL = 0

Factor out the Greatest Common Factor (GCF), 'go'.
go(-11l + lx + 2L + xL) = 0

Subproblem 1
Set the factor 'go' equal to zero and attempt to solve:

Simplifying
go = 0

Solving
go = 0

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

Simplifying
go = 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 '(-11l + lx + 2L + xL)' equal to zero and attempt to solve:

Simplifying
-11l + lx + 2L + xL = 0

Reorder the terms:
2L + -11l + lx + xL = 0

Solving
2L + -11l + lx + xL = 0

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

Add '-2L' to each side of the equation.
2L + -11l + lx + -2L + xL = 0 + -2L

Reorder the terms:
2L + -2L + -11l + lx + xL = 0 + -2L

Combine like terms: 2L + -2L = 0
0 + -11l + lx + xL = 0 + -2L
-11l + lx + xL = 0 + -2L
Remove the zero:
-11l + lx + xL = -2L

Add '11l' to each side of the equation.
-11l + lx + 11l + xL = -2L + 11l

Reorder the terms:
-11l + 11l + lx + xL = -2L + 11l

Combine like terms: -11l + 11l = 0
0 + lx + xL = -2L + 11l
lx + xL = -2L + 11l

Add '-1lx' to each side of the equation.
lx + -1lx + xL = -2L + 11l + -1lx

Combine like terms: lx + -1lx = 0
0 + xL = -2L + 11l + -1lx
xL = -2L + 11l + -1lx

Add '-1xL' to each side of the equation.
xL + -1xL = -2L + 11l + -1lx + -1xL

Combine like terms: xL + -1xL = 0
0 = -2L + 11l + -1lx + -1xL

Simplifying
0 = -2L + 11l + -1lx + -1xL

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.