log[12](x-3)-log[12](x+7)=log[12](3)

Solution for log[12](x-3)-log[12](x+7)=log[12](3) equation:

Simplifying
log[12](x + -3) + -1log[12](x + 7) = log[12](3)

Reorder the terms:
glo * 12(-3 + x) + -1log[12](x + 7) = log[12](3)

Reorder the terms for easier multiplication:
12glo(-3 + x) + -1log[12](x + 7) = log[12](3)
(-3 * 12glo + x * 12glo) + -1log[12](x + 7) = log[12](3)
(-36glo + 12glox) + -1log[12](x + 7) = log[12](3)

Reorder the terms:
-36glo + 12glox + -1glo * 12(7 + x) = log[12](3)

Reorder the terms for easier multiplication:
-36glo + 12glox + -1 * 12glo(7 + x) = log[12](3)

Multiply -1 * 12
-36glo + 12glox + -12glo(7 + x) = log[12](3)
-36glo + 12glox + (7 * -12glo + x * -12glo) = log[12](3)
-36glo + 12glox + (-84glo + -12glox) = log[12](3)

Reorder the terms:
-36glo + -84glo + 12glox + -12glox = log[12](3)

Combine like terms: -36glo + -84glo = -120glo
-120glo + 12glox + -12glox = log[12](3)

Combine like terms: 12glox + -12glox = 0
-120glo + 0 = log[12](3)
-120glo = log[12](3)

Reorder the terms for easier multiplication:
-120glo = 12 * 3glo

Multiply 12 * 3
-120glo = 36glo

Solving
-120glo = 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.
-120glo + -36glo = 36glo + -36glo

Combine like terms: -120glo + -36glo = -156glo
-156glo = 36glo + -36glo

Combine like terms: 36glo + -36glo = 0
-156glo = 0

Divide each side by '-156'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.