What is 20*log_{10}((4*pi*2)/(0.46)) ?

The solution to 20*log_{10}((4*pi*2)/(0.46)) is 20(log_{10}(8pi)-log_{10}(0.46))

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simplify 20log_{10}((4pi*2)/(0.46))

simplify

20 \cdot lo g_{10} (\frac{4 \cdot π \cdot 2}{0.46})

20 (lo g_{10} (8 π) - lo g_{10} (0.46))

Decimal Notation

34.74964 \dots

Solution steps

20 lo g_{10} (\frac{4 π 2}{0.46})

Apply log rule:

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

lo g_{10} (\frac{4 π 2}{0.46}) = lo g_{10} (4 π 2) - lo g_{10} (0.46)

= 20 (lo g_{10} (4 \cdot 2 π) - lo g_{10} (0.46))

Multiply the numbers:

4 \cdot 2 = 8

= 20 (lo g_{10} (8 π) - lo g_{10} (0.46))

7.952707 ln (6000 x^{0.8})

ln (\frac{e ^{x}}{x ( x + 3 ) ^{2}})

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

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

lo g_{6} (\frac{36 y}{x ^{7} z ^{3}})

What is 20*log_{10}((4*pi*2)/(0.46)) ?
The solution to 20*log_{10}((4*pi*2)/(0.46)) is 20(log_{10}(8pi)-log_{10}(0.46))