en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{b}(yz^4)

Solution

simplify

lo g_{b} (y z^{4})

Solution

lo g_{b} (y) + 4 lo g_{b} (z)

Solution steps

lo g_{b} (y z^{4})

Apply log rule:

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

lo g_{b} (y z^{4}) = lo g_{b} (y) + lo g_{b} (z^{4})

= lo g_{b} (y) + lo g_{b} (z^{4})

Simplify

lo g_{b} (z^{4}) : 4 lo g_{b} (z)

= lo g_{b} (y) + 4 lo g_{b} (z)

Popular Examples

expand log_{5}((a\sqrt[3]{b})/(c^4))expand

simplify ln(y)+ln(3)simplify

ln (y) + ln (3)

simplify 2ln(cos^2(t))+2ln(1+tan^2(t))simplify

2 ln (cos^{2} (t)) + 2 ln (1 + tan^{2} (t))

simplify ln(5)+1/2 ln(16)simplify

ln (5) + \frac{1}{2} ln (16)

simplify 5log_{a}(a)-log_{a}(a^4)+log_{a}(a^{-2})simplify

5 lo g_{a} (a) - lo g_{a} (a^{4}) + lo g_{a} (a^{- 2})

Frequently Asked Questions (FAQ)

What is log_{b}(yz^4) ?
The solution to log_{b}(yz^4) is log_{b}(y)+4log_{b}(z)