What is log_{2}(((4pi^2))/(30)) ?

The solution to log_{2}(((4pi^2))/(30)) is 2+2log_{2}(pi)-log_{2}(30)

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simplify log_{2}(((4pi^2))/(30))

simplify

lo g_{2} (\frac{( 4 π ^{2} )}{30})

2 + 2 lo g_{2} (π) - lo g_{2} (30)

Decimal Notation

0.39610 \dots

Solution steps

lo g_{2} (\frac{( 4 π ^{2} )}{30})

Apply log rule:

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

lo g_{2} (\frac{( 4 π ^{2} )}{30}) = lo g_{2} ((4 π^{2})) - lo g_{2} (30)

= lo g_{2} (4 π^{2}) - lo g_{2} (30)

Apply log rule:

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

lo g_{2} (4 π^{2}) = lo g_{2} (4) + lo g_{2} (π^{2})

= lo g_{2} (4) + lo g_{2} (π^{2}) - lo g_{2} (30)

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{2} (π^{2}) = 2 lo g_{2} (π)

= lo g_{2} (4) + 2 lo g_{2} (π) - lo g_{2} (30)

lo g_{2} (4) = 2

= 2 + 2 lo g_{2} (π) - lo g_{2} (30)

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

x - lo g_{e} (x) - lo g_{e} (0.17)

ln (y - 3) + ln (\frac{x + 2}{y - 3})

ln (x) + ln (y) - \frac{1}{3 v ^{3}}

ln (6 x) - ln (y)

What is log_{2}(((4pi^2))/(30)) ?
The solution to log_{2}(((4pi^2))/(30)) is 2+2log_{2}(pi)-log_{2}(30)