log(x-0.5)=log(x-1)

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Solution for log(x-0.5)=log(x-1) equation:


Simplifying
log(x + -0.5) = log(x + -1)

Reorder the terms:
glo(-0.5 + x) = log(x + -1)
(-0.5 * glo + x * glo) = log(x + -1)
(-0.5glo + glox) = log(x + -1)

Reorder the terms:
-0.5glo + glox = glo(-1 + x)
-0.5glo + glox = (-1 * glo + x * glo)
-0.5glo + glox = (-1glo + glox)

Add '-1glox' to each side of the equation.
-0.5glo + glox + -1glox = -1glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-0.5glo + 0 = -1glo + glox + -1glox
-0.5glo = -1glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-0.5glo = -1glo + 0
-0.5glo = -1glo

Solving
-0.5glo = -1glo

Solving for variable 'g'.

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

Add 'glo' to each side of the equation.
-0.5glo + glo = -1glo + glo

Combine like terms: -0.5glo + glo = 0.5glo
0.5glo = -1glo + glo

Combine like terms: -1glo + glo = 0
0.5glo = 0

Divide each side by '0.5'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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