en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(3sqrt(2))

Solution

simplify

ln (32)

Solution

ln (3) + \frac{1}{2} ln (2)

+1

Decimal Notation

1.44518 \dots

Solution steps

ln (32)

Apply log rule:

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

ln (32) = ln (3) + ln (2)

= ln (3) + ln (2)

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

= ln (3) + \frac{1}{2} ln (2)

Popular Examples

simplify ln(1)-ln(2x)simplify

ln (1) - ln (2 x)

simplify log_{10}(2*10^{-4})simplify

lo g_{10} (2 \cdot 1 0^{- 4})

factor tx(ln(tx)-ln(ty)-1)factor

t x (ln (t x) - ln (t y) - 1)

simplify ln(x)+ln(y/x+4)simplify

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

simplify log_{10}(191.7x^{432})simplify

lo g_{10} (191.7 x^{432})

Frequently Asked Questions (FAQ)

What is ln(3sqrt(2)) ?
The solution to ln(3sqrt(2)) is ln(3)+1/2 ln(2)