What is ln(1/(xsqrt(2pi))) ?

The solution to ln(1/(xsqrt(2pi))) is -(ln(x)+1/2 ln(2pi))

Popular >

simplify ln(1/(xsqrt(2pi)))

simplify

ln (\frac{1}{x 2 π})

- (ln (x) + \frac{1}{2} ln (2 π))

Solution steps

ln (\frac{1}{x 2 π})

Apply log rule:

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

ln (\frac{1}{x 2 π}) = ln (1) - ln (x 2 π)

= ln (1) - ln (2 π x)

Apply log rule:

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

ln (x 2 π) = ln (x) + ln (2 π)

= ln (1) - (ln (x) + ln (2 π))

Apply log rule:

lo g_{a} (1) = 0

= 0 - (ln (x) + ln (2 π))

ln (2 π) = \frac{1}{2} ln (2 π)

= 0 - (ln (x) + \frac{1}{2} ln (2 π))

0 - (ln (x) + \frac{1}{2} ln (2 π)) = - (ln (x) + \frac{1}{2} ln (2 π))

= - (ln (x) + \frac{1}{2} ln (2 π))

ln (41 x^{- 4} y)

\frac{ln ( 3939.6896 ) - ln ( 1992.1294 )}{3416.708}

ln (4^{3} + 4) - ln (8 \cdot (4)^{3} + 15 (4))

ln (\frac{327.15}{243.15})

lo g_{3} (\frac{x y}{3})

What is ln(1/(xsqrt(2pi))) ?
The solution to ln(1/(xsqrt(2pi))) is -(ln(x)+1/2 ln(2pi))