2log(x-2)=log(x+5)+logx

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Solution for 2log(x-2)=log(x+5)+logx equation:


Simplifying
2log(x + -2) = log(x + 5) + logx

Reorder the terms:
2glo(-2 + x) = log(x + 5) + logx
(-2 * 2glo + x * 2glo) = log(x + 5) + logx
(-4glo + 2glox) = log(x + 5) + logx

Reorder the terms:
-4glo + 2glox = glo(5 + x) + logx
-4glo + 2glox = (5 * glo + x * glo) + logx
-4glo + 2glox = (5glo + glox) + logx

Combine like terms: glox + glox = 2glox
-4glo + 2glox = 5glo + 2glox

Add '-2glox' to each side of the equation.
-4glo + 2glox + -2glox = 5glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-4glo + 0 = 5glo + 2glox + -2glox
-4glo = 5glo + 2glox + -2glox

Combine like terms: 2glox + -2glox = 0
-4glo = 5glo + 0
-4glo = 5glo

Solving
-4glo = 5glo

Solving for variable 'g'.

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

Add '-5glo' to each side of the equation.
-4glo + -5glo = 5glo + -5glo

Combine like terms: -4glo + -5glo = -9glo
-9glo = 5glo + -5glo

Combine like terms: 5glo + -5glo = 0
-9glo = 0

Divide each side by '-9'.
glo = 0

Simplifying
glo = 0

The solution to this equation could not be determined.

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