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

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

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expand ln((sqrt(2x))/(x-2))

expand

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

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

Solution steps

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

Apply log rule:

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

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

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

2 x = 2 x

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

- 8267 ln (\frac{0.7}{100})

ln (\frac{5}{3}) \cdot 3

3 \cdot 1 0^{\frac{3 l n ( 3 )}{2 l n ( 2 )} - 6}

ln (x cos (2 ln (x)))

- 5 ln (4 x)

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