What is ln((x+x)/(sqrt(x-2))) ?

The solution to ln((x+x)/(sqrt(x-2))) is ln(2x)-ln(sqrt(x-2))

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simplify ln((x+x)/(sqrt(x-2)))

simplify

ln (\frac{x + x}{x - 2})

ln (2 x) - ln (x - 2)

Solution steps

ln (\frac{x + x}{x - 2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{x + x}{x - 2}) = ln (x + x) - ln (x - 2)

= ln (x + x) - ln (x - 2)

Add similar elements:

x + x = 2 x

= ln (2 x) - ln (x - 2)

ln (\frac{x + y i}{x - y i})

ln (\frac{1}{1 + x})

ln (x y) - x^{4} sin (6 x) + x y

ln (6 \cdot 1 0^{5})

80 ln (\frac{36185125}{289759})

What is ln((x+x)/(sqrt(x-2))) ?
The solution to ln((x+x)/(sqrt(x-2))) is ln(2x)-ln(sqrt(x-2))