What is expand ln(xy^2z^{-4}) ?

The solution to expand ln(xy^2z^{-4}) is ln(x)+2ln(y)-4ln(z)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand ln(xy^2z^{-4})

expand

ln (x y^{2} z^{- 4})

ln (x) + 2 ln (y) - 4 ln (z)

Solution steps

ln (x y^{2} z^{- 4})

Apply log rule:

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

ln (x y^{2} z^{- 4}) = ln (x) + ln (y^{2}) + ln (z^{- 4})

= ln (x) + ln (y^{2}) + ln (z^{- 4})

Apply log rule:

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

ln (y^{2}) = 2 ln (y)

= ln (x) + 2 ln (y) + ln (z^{- 4})

Apply log rule:

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

ln (z^{- 4}) = - 4 ln (z)

= ln (x) + 2 ln (y) - 4 ln (z)

6.1 + lo g_{10} (\frac{13}{12.2})

ln (\frac{100}{96.87})

lo g_{3} (5 x^{2})

ln (\frac{A ^{2}}{e ^{3}})

\frac{1}{2} (ln (x) - 3 ln (y))

What is expand ln(xy^2z^{-4}) ?
The solution to expand ln(xy^2z^{-4}) is ln(x)+2ln(y)-4ln(z)