log(x-a)-log(x+a)=logx-log(x-a)

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Solution for log(x-a)-log(x+a)=logx-log(x-a) equation:


Simplifying
log(x + -1a) + -1log(x + a) = logx + -1log(x + -1a)

Reorder the terms:
glo(-1a + x) + -1log(x + a) = logx + -1log(x + -1a)
(-1a * glo + x * glo) + -1log(x + a) = logx + -1log(x + -1a)
(-1aglo + glox) + -1log(x + a) = logx + -1log(x + -1a)

Reorder the terms:
-1aglo + glox + -1glo(a + x) = logx + -1log(x + -1a)
-1aglo + glox + (a * -1glo + x * -1glo) = logx + -1log(x + -1a)
-1aglo + glox + (-1aglo + -1glox) = logx + -1log(x + -1a)

Reorder the terms:
-1aglo + -1aglo + glox + -1glox = logx + -1log(x + -1a)

Combine like terms: -1aglo + -1aglo = -2aglo
-2aglo + glox + -1glox = logx + -1log(x + -1a)

Combine like terms: glox + -1glox = 0
-2aglo + 0 = logx + -1log(x + -1a)
-2aglo = logx + -1log(x + -1a)

Reorder the terms:
-2aglo = glox + -1glo(-1a + x)
-2aglo = glox + (-1a * -1glo + x * -1glo)
-2aglo = glox + (1aglo + -1glox)

Reorder the terms:
-2aglo = 1aglo + glox + -1glox

Combine like terms: glox + -1glox = 0
-2aglo = 1aglo + 0
-2aglo = 1aglo

Solving
-2aglo = 1aglo

Solving for variable 'a'.

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

Add '-1aglo' to each side of the equation.
-2aglo + -1aglo = 1aglo + -1aglo

Combine like terms: -2aglo + -1aglo = -3aglo
-3aglo = 1aglo + -1aglo

Combine like terms: 1aglo + -1aglo = 0
-3aglo = 0

Divide each side by '-3'.
aglo = 0

Simplifying
aglo = 0

The solution to this equation could not be determined.

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