What is factor 1/3 log_{a}((2x^2)/(by^5)) ?

The solution to factor 1/3 log_{a}((2x^2)/(by^5)) is 1/3 (log_{a}(2x^2)-log_{a}(by^5))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

factor 1/3 log_{a}((2x^2)/(by^5))

factor

\frac{1}{3} lo g_{a} (\frac{2 x ^{2}}{b y ^{5}})

\frac{1}{3} (lo g_{a} (2 x^{2}) - lo g_{a} (b y^{5}))

Solution steps

\frac{1}{3} lo g_{a} (\frac{2 x ^{2}}{b y ^{5}})

Apply log rule:

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

lo g_{a} (\frac{2 x ^{2}}{b y ^{5}}) = lo g_{a} (2 x^{2}) - lo g_{a} (b y^{5})

= \frac{1}{3} (lo g_{a} (2 x^{2}) - lo g_{a} (b y^{5}))

ln (\frac{8}{12})

ln (p e^{- c p})

lo g_{a^{22 a}} (- \frac{1}{2} (lo g_{a} (2) + 1))

ln (10 x e^{\frac{- x}{50}})

lo g_{10} (\frac{3 x ^{2} - 15 x}{x ^{2} + 4 x})

What is factor 1/3 log_{a}((2x^2)/(by^5)) ?
The solution to factor 1/3 log_{a}((2x^2)/(by^5)) is 1/3 (log_{a}(2x^2)-log_{a}(by^5))