en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify log_{10}(yz^2)

Solution

simplify

lo g_{10} (y z^{2})

Solution

lo g_{10} (y) + 2 lo g_{10} (z)

Solution steps

lo g_{10} (y z^{2})

Apply log rule:

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

lo g_{10} (y z^{2}) = lo g_{10} (y) + lo g_{10} (z^{2})

= lo g_{10} (y) + lo g_{10} (z^{2})

Simplify

lo g_{10} (z^{2}) : 2 lo g_{10} (z)

= lo g_{10} (y) + 2 lo g_{10} (z)

Popular Examples

simplify-log_{10}(3.6*10^{-6})simplify

- lo g_{10} (3.6 \cdot 1 0^{- 6})

simplify 3log_{2}(3)+5log_{2}(1)+4log_{2}(b)-5 simplify

3 lo g_{2} (3) + 5 lo g_{2} (1) + 4 lo g_{2} (b) - 5

simplify 13.375ln((1390)/(1390-1250))simplify

13.375 ln (\frac{1390}{1390 - 1250})

simplify 2log_{2}(x)-4log_{2}(y)-5log_{2}(z)simplify

2 lo g_{2} (x) - 4 lo g_{2} (y) - 5 lo g_{2} (z)

simplify log_{10}((sqrt(x^2+9))/(x+1))simplify

lo g_{10} (\frac{x ^{2} + 9}{x + 1})

Frequently Asked Questions (FAQ)

What is log_{10}(yz^2) ?
The solution to log_{10}(yz^2) is log_{10}(y)+2log_{10}(z)