What is expand ln(sqrt((x-48)/x)) ?

The solution to expand ln(sqrt((x-48)/x)) is 1/2 ln((x-48)/x)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(sqrt((x-48)/x))

expand

ln (\frac{x - 48}{x})

\frac{1}{2} ln (\frac{x - 48}{x})

Solution steps

ln (\frac{x - 48}{x})

Rewrite as

= ln ((\frac{x - 48}{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 - 48}{x})

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

\frac{( x - 29 ) ^{2}}{9}

\frac{867 ( e ^{\frac{29}{20}} - 1 )}{50000 e ^{\frac{29}{20}}}

\frac{d}{d t} ((x) 4 (x^{2} + 1))

(3 - sin (x))^{2}

What is expand ln(sqrt((x-48)/x)) ?
The solution to expand ln(sqrt((x-48)/x)) is 1/2 ln((x-48)/x)