What is 20*log_{10}((4pi*2)/(644334)) ?

The solution to 20*log_{10}((4pi*2)/(644334)) is 20(log_{10}(8pi)-log_{10}(644334))

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simplify 20log_{10}((4pi2)/(644334))

simplify

20 \cdot lo g_{10} (\frac{4 π \cdot 2}{644334})

20 (lo g_{10} (8 π) - lo g_{10} (644334))

Decimal

- 88.17742 \dots

Solution steps

20 lo g_{10} (\frac{4 π 2}{644334})

Apply log rule:

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

lo g_{10} (\frac{4 π 2}{644334}) = lo g_{10} (4 π 2) - lo g_{10} (644334)

= 20 (lo g_{10} (4 \cdot 2 π) - lo g_{10} (644334))

Multiply the numbers:

4 \cdot 2 = 8

= 20 (lo g_{10} (8 π) - lo g_{10} (644334))

\frac{4}{3} lo g_{3} (2)

lo g_{2} (\frac{6 ^{4}}{1 1 ^{6}})

ln (20) - ln (3)

ln (x - 1) - ln (3 x + 2)

ln (\frac{T ^{2} \cdot G}{4 π ^{2}})

What is 20*log_{10}((4pi*2)/(644334)) ?
The solution to 20*log_{10}((4pi*2)/(644334)) is 20(log_{10}(8pi)-log_{10}(644334))