en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(222sqrt(2))

Solution

simplify

ln (2222)

Solution

ln (222) + \frac{1}{2} ln (2)

+1

Decimal Notation

5.74925 \dots

Solution steps

ln (2222)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

ln (2222) = ln (222) + ln (2)

= ln (222) + ln (2)

ln (2) = \frac{1}{2} ln (2)

= ln (222) + \frac{1}{2} ln (2)

Popular Examples

simplify-(8.31*310)/(9.65)*ln(140/4)simplify

- \frac{8.31 \cdot 310}{9.65} \cdot ln (\frac{140}{4})

simplify ln(3/5)+7 simplify

ln (\frac{3}{5}) + 7

simplify ln(a+b)+ln(a-b)-2ln(x)simplify

ln (a + b) + ln (a - b) - 2 ln (x)

simplify 7log_{b}(x)-1/2 log_{b}(y)+3log_{b}(3)simplify

7 lo g_{b} (x) - \frac{1}{2} lo g_{b} (y) + 3 lo g_{b} (3)

simplify ln(9*e^{-3t})simplify

ln (9 \cdot e^{- 3 t})

Frequently Asked Questions (FAQ)

What is ln(222sqrt(2)) ?
The solution to ln(222sqrt(2)) is ln(222)+1/2 ln(2)