What is ln((\sqrt[6]{ab})/(cd^2)) ?

The solution to ln((\sqrt[6]{ab})/(cd^2)) is ln(\sqrt[6]{ab})-ln(c)-2ln(d)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln((\sqrt[6]{ab})/(cd^2))

simplify

Solution steps

Apply log rule:

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

Apply log rule:

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

ln (c d^{2}) = ln (c) + ln (d^{2})

Apply log rule:

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

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

- (ln (c) + 2 ln (d)) : - ln (c) - 2 ln (d)

- lo g_{10} (7.9 \cdot 1 0^{- 6})

ln (\frac{x ^{5} y ^{8}}{x ^{7}})

- lo g_{10} (3 \times 1 0^{- 8})

lo g_{3} (25) + lo g_{3} (4)

lo g_{2} (3) + 2 lo g_{2} (5)

What is ln((\sqrt[6]{ab})/(cd^2)) ?
The solution to ln((\sqrt[6]{ab})/(cd^2)) is ln(\sqrt[6]{ab})-ln(c)-2ln(d)