log(x)-2=log(x-4)

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


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

Multiply glo * x
glox + -2 = log(x + -4)

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

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

Add '-1glox' to each side of the equation.
-2 + glox + -1glox = -4glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-2 + 0 = -4glo + glox + -1glox
-2 = -4glo + glox + -1glox

Combine like terms: glox + -1glox = 0
-2 = -4glo + 0
-2 = -4glo

Solving
-2 = -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.
-2 + 4glo = -4glo + 4glo

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

Add '2' to each side of the equation.
-2 + 2 + 4glo = 0 + 2

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

Combine like terms: 0 + 2 = 2
4glo = 2

Divide each side by '4lo'.
g = 0.5l-1o-1

Simplifying
g = 0.5l-1o-1

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