log(x-1)+log(x-2)=logx+log(x-4)

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Solution for log(x-1)+log(x-2)=logx+log(x-4) equation:


Simplifying
log(x + -1) + log(x + -2) = logx + log(x + -4)

Reorder the terms:
glo(-1 + x) + log(x + -2) = logx + log(x + -4)
(-1 * glo + x * glo) + log(x + -2) = logx + log(x + -4)
(-1glo + glox) + log(x + -2) = logx + log(x + -4)

Reorder the terms:
-1glo + glox + glo(-2 + x) = logx + log(x + -4)
-1glo + glox + (-2 * glo + x * glo) = logx + log(x + -4)
-1glo + glox + (-2glo + glox) = logx + log(x + -4)

Reorder the terms:
-1glo + -2glo + glox + glox = logx + log(x + -4)

Combine like terms: -1glo + -2glo = -3glo
-3glo + glox + glox = logx + log(x + -4)

Combine like terms: glox + glox = 2glox
-3glo + 2glox = logx + log(x + -4)

Reorder the terms:
-3glo + 2glox = glox + glo(-4 + x)
-3glo + 2glox = glox + (-4 * glo + x * glo)
-3glo + 2glox = glox + (-4glo + glox)

Reorder the terms:
-3glo + 2glox = -4glo + glox + glox

Combine like terms: glox + glox = 2glox
-3glo + 2glox = -4glo + 2glox

Add '-2glox' to each side of the equation.
-3glo + 2glox + -2glox = -4glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-3glo + 0 = -4glo + 2glox + -2glox
-3glo = -4glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-3glo = -4glo + 0
-3glo = -4glo

Solving
-3glo = -4glo

Solving for variable 'g'.

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

Add '4glo' to each side of the equation.
-3glo + 4glo = -4glo + 4glo

Combine like terms: -3glo + 4glo = 1glo
1glo = -4glo + 4glo

Combine like terms: -4glo + 4glo = 0
1glo = 0

Divide each side by '1'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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