What is ln(1/(sqrt(2pix))) ?

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

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simplify ln(1/(sqrt(2pix)))

simplify

ln (\frac{1}{2 π x})

- ln (2 π x)

Solution steps

ln (\frac{1}{2 π x})

Apply log rule:

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

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

= ln (1) - ln (2 π x)

Apply log rule:

lo g_{a} (1) = 0

= 0 - ln (2 π x)

2 π x = 2 π x

= 0 - ln (2 π x)

0 - ln (2 π x) = - ln (2 π x)

= - ln (2 π x)

2 ln (x) + ln (y) - ln (z + 4)

ln (20 e)

- lo g_{10} (6 \cdot 1 0^{- 9})

lo g_{10} (2) + lo g_{10} (x + 3)

lo g_{10} (\frac{a b ^{2}}{m})

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