What is ln((sqrt(3))/(2e)) ?

The solution to ln((sqrt(3))/(2e)) is 1/2 ln(3)-ln(2)-1

Popular >

simplify ln((sqrt(3))/(2e))

simplify

ln (\frac{3}{2 e})

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

Decimal Notation

- 1.14384 \dots

Solution steps

ln (\frac{3}{2 e})

Apply log rule:

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

ln (\frac{3}{2 e}) = ln (3) - ln (2 e)

= ln (3) - ln (2 e)

Apply log rule:

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

ln (2 e) = ln (2) + ln (e)

= ln (3) - (ln (2) + ln (e))

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

- (ln (2) + ln (e)) = - (ln (2) + 1)

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

- (ln (2) + 1) : - ln (2) - 1

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

\frac{0.01 \cdot 2415}{π \cdot 0.003 \cdot 51271} \cdot ln (\frac{10}{60})

lo g_{\frac{1}{3}} (\frac{1}{6})

ln (y - 2) - \frac{1}{3} ln (y - 1)

3 ln (4) - ln (\frac{4}{3})

\frac{1}{10} ln (\frac{4}{3})

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