What is expand ln(sqrt((x-92)/x)) ?

The solution to expand ln(sqrt((x-92)/x)) is 1/2 ln((x-92)/x)

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expand ln(sqrt((x-92)/x))

expand

ln (\frac{x - 92}{x})

\frac{1}{2} ln (\frac{x - 92}{x})

Solution steps

ln (\frac{x - 92}{x})

Rewrite as

= ln ((\frac{x - 92}{x})^{\frac{1}{2}})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= \frac{1}{2} ln (\frac{x - 92}{x})

\frac{( x + 11 )}{( x - 3 ) ( 2 x + 1 )}

(e^{- 2 t} + e^{- 3.5 t} - e^{- 4 t}) u (t)

\frac{7 x ^{2} + 2 x - 1}{2 ( x + 1 ) ^{2} ( x ^{2} - 2 )}

(3 x - y)^{2}

\frac{( 1 - x )}{( 2 ( x - 2 ) ^{2} )}

What is expand ln(sqrt((x-92)/x)) ?
The solution to expand ln(sqrt((x-92)/x)) is 1/2 ln((x-92)/x)