log(x)-2=-log(x-21)

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Solution for log(x)-2=-log(x-21) equation:


Simplifying
log(x) + -2 = -1log(x + -21)

Multiply glo * x
glox + -2 = -1log(x + -21)

Reorder the terms:
-2 + glox = -1log(x + -21)

Reorder the terms:
-2 + glox = -1glo(-21 + x)
-2 + glox = (-21 * -1glo + x * -1glo)
-2 + glox = (21glo + -1glox)

Solving
-2 + glox = 21glo + -1glox

Solving for variable 'g'.

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

Add '-21glo' to each side of the equation.
-2 + -21glo + glox = 21glo + -21glo + -1glox

Combine like terms: 21glo + -21glo = 0
-2 + -21glo + glox = 0 + -1glox
-2 + -21glo + glox = -1glox

Add 'glox' to each side of the equation.
-2 + -21glo + glox + glox = -1glox + glox

Combine like terms: glox + glox = 2glox
-2 + -21glo + 2glox = -1glox + glox

Combine like terms: -1glox + glox = 0
-2 + -21glo + 2glox = 0

Add '2' to each side of the equation.
-2 + -21glo + 2 + 2glox = 0 + 2

Reorder the terms:
-2 + 2 + -21glo + 2glox = 0 + 2

Combine like terms: -2 + 2 = 0
0 + -21glo + 2glox = 0 + 2
-21glo + 2glox = 0 + 2

Combine like terms: 0 + 2 = 2
-21glo + 2glox = 2

Reorder the terms:
-2 + -21glo + 2glox = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -21glo + 2glox = 0

The solution to this equation could not be determined.

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