What is expand log_{3}((x/y)^4) ?

The solution to expand log_{3}((x/y)^4) is 4(log_{3}(x)-log_{3}(y))

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

expand log_{3}((x/y)^4)

expand

lo g_{3} ((\frac{x}{y})^{4})

4 (lo g_{3} (x) - lo g_{3} (y))

Solution steps

lo g_{3} ((\frac{x}{y})^{4})

Apply log rule:

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

lo g_{3} ((\frac{x}{y})^{4}) = 4 lo g_{3} (\frac{x}{y})

= 4 lo g_{3} (\frac{x}{y})

Apply log rule:

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

lo g_{3} (\frac{x}{y}) = lo g_{3} (x) - lo g_{3} (y)

= 4 (lo g_{3} (x) - lo g_{3} (y))

lo g_{10} (10 x) + lo g_{10} (20 y) - 1

\frac{1}{3} lo g_{a} (p) + 3 lo g_{a} (q) - 4 lo g_{a} (p)

lo g_{b} (\frac{x y ^{5}}{z ^{4}})

lo g_{2} (\frac{2 x ^{8}}{y})

ln (\frac{x + 1}{4 x})

What is expand log_{3}((x/y)^4) ?
The solution to expand log_{3}((x/y)^4) is 4(log_{3}(x)-log_{3}(y))