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))

4 lo g_{2} (y - 3) - 6 lo g_{2} (y + 9)

ln (- \frac{2}{5} e^{10 t})

lo g_{e} (x^{2}) - lo g_{e} (lo g_{e} (x))

ln (\frac{e ^{x^{2}}}{x ^{2}})

- lo g_{10} (x) + \frac{1}{2} lo g_{10} (y) + 1

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