log[12](x+13)-log[12](x-2)=log[12](5)

Solution for log[12](x+13)-log[12](x-2)=log[12](5) equation:

Simplifying
log[12](x + 13) + -1log[12](x + -2) = log[12](5)

Reorder the terms:
glo * 12(13 + x) + -1log[12](x + -2) = log[12](5)

Reorder the terms for easier multiplication:
12glo(13 + x) + -1log[12](x + -2) = log[12](5)
(13 * 12glo + x * 12glo) + -1log[12](x + -2) = log[12](5)
(156glo + 12glox) + -1log[12](x + -2) = log[12](5)

Reorder the terms:
156glo + 12glox + -1glo * 12(-2 + x) = log[12](5)

Reorder the terms for easier multiplication:
156glo + 12glox + -1 * 12glo(-2 + x) = log[12](5)

Multiply -1 * 12
156glo + 12glox + -12glo(-2 + x) = log[12](5)
156glo + 12glox + (-2 * -12glo + x * -12glo) = log[12](5)
156glo + 12glox + (24glo + -12glox) = log[12](5)

Reorder the terms:
156glo + 24glo + 12glox + -12glox = log[12](5)

Combine like terms: 156glo + 24glo = 180glo
180glo + 12glox + -12glox = log[12](5)

Combine like terms: 12glox + -12glox = 0
180glo + 0 = log[12](5)
180glo = log[12](5)

Reorder the terms for easier multiplication:
180glo = 12 * 5glo

Multiply 12 * 5
180glo = 60glo

Solving
180glo = 60glo

Solving for variable 'g'.

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

Add '-60glo' to each side of the equation.
180glo + -60glo = 60glo + -60glo

Combine like terms: 180glo + -60glo = 120glo
120glo = 60glo + -60glo

Combine like terms: 60glo + -60glo = 0
120glo = 0

Divide each side by '120'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.