What is 1/(2sqrt(105))-ln(21)+ln(20) ?

The solution to 1/(2sqrt(105))-ln(21)+ln(20) is (sqrt(105))/(210)+ln(20/21)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 1/(2sqrt(105))-ln(21)+ln(20)

simplify

\frac{1}{2 105} - ln (21) + ln (20)

\frac{105}{210} + ln (\frac{20}{21})

Decimal Notation

4.83948 E - 6

Solution steps

\frac{1}{2 105} - ln (21) + ln (20)

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (20) - ln (21) = ln (\frac{20}{21})

= \frac{1}{2 105} + ln (\frac{20}{21})

\frac{1}{2 105} = \frac{105}{210}

= \frac{105}{210} + ln (\frac{20}{21})

\frac{1}{2} (ln (8 x^{2}) - ln (4) - 3 ln (x) - ln (y))

0.53 - (\frac{0.0592}{2}) \cdot lo g_{10} (\frac{0.1}{3})

ln (\frac{24 2}{2})

- lo g_{10} (5.45 \cdot 1 0^{- 5})

lo g_{5} (\frac{2 x ^{3}}{4 y})

What is 1/(2sqrt(105))-ln(21)+ln(20) ?
The solution to 1/(2sqrt(105))-ln(21)+ln(20) is (sqrt(105))/(210)+ln(20/21)