What is expand ln((sqrt(z))/(xy)) ?

The solution to expand ln((sqrt(z))/(xy)) is ln(sqrt(z))-ln(x)-ln(y)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln((sqrt(z))/(xy))

expand

ln (\frac{z}{x y})

ln (z) - ln (x) - ln (y)

Solution steps

ln (\frac{z}{x y})

Apply log rule:

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

ln (\frac{z}{x y}) = ln (z) - ln (x y)

= ln (z) - ln (x y)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (x y) = ln (x) + ln (y)

= ln (z) - (ln (x) + ln (y))

- (ln (x) + ln (y)) : - ln (x) - ln (y)

= ln (z) - ln (x) - ln (y)

lo g_{3} (\frac{100}{27 x})

lo g_{5} (\frac{x}{125})

lo g_{10} (2 x + 1) - lo g_{10} (x)

- lo g_{10} (1.8 \cdot 1 0^{- 4})

What is expand ln((sqrt(z))/(xy)) ?
The solution to expand ln((sqrt(z))/(xy)) is ln(sqrt(z))-ln(x)-ln(y)