en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(27k)

Solution

simplify

lo g_{b} (27 k)

Solution

3 lo g_{b} (3) + lo g_{b} (k)

Solution steps

lo g_{b} (27 k)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{b} (27 k) = lo g_{b} (27) + lo g_{b} (k)

= lo g_{b} (27) + lo g_{b} (k)

Simplify

lo g_{b} (27) : 3 lo g_{b} (3)

= 3 lo g_{b} (3) + lo g_{b} (k)

Popular Examples

simplify 2.64*0.385+ln((327.95)/(823))simplify

2.64 \cdot 0.385 + ln (\frac{327.95}{823})

simplify ln((\sqrt[3]{x})/(\sqrt[y]{z)})simplify

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

simplify-log_{10}(7.9*10^{-6})simplify

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

simplify ln((sqrt(x^5y^8))/(x^7))simplify

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

Frequently Asked Questions (FAQ)

What is log_{b}(27k) ?
The solution to log_{b}(27k) is 3log_{b}(3)+log_{b}(k)