log(x)=1-log(x-3)

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Solution for log(x)=1-log(x-3) equation:


Simplifying
log(x) = 1 + -1log(x + -3)

Multiply glo * x
glox = 1 + -1log(x + -3)

Reorder the terms:
glox = 1 + -1glo(-3 + x)
glox = 1 + (-3 * -1glo + x * -1glo)
glox = 1 + (3glo + -1glox)

Solving
glox = 1 + 3glo + -1glox

Solving for variable 'g'.

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

Add '-3glo' to each side of the equation.
-3glo + glox = 1 + 3glo + -3glo + -1glox

Combine like terms: 3glo + -3glo = 0
-3glo + glox = 1 + 0 + -1glox
-3glo + glox = 1 + -1glox

Add 'glox' to each side of the equation.
-3glo + glox + glox = 1 + -1glox + glox

Combine like terms: glox + glox = 2glox
-3glo + 2glox = 1 + -1glox + glox

Combine like terms: -1glox + glox = 0
-3glo + 2glox = 1 + 0
-3glo + 2glox = 1

Reorder the terms:
-1 + -3glo + 2glox = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + -3glo + 2glox = 0

The solution to this equation could not be determined.

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