What is 20*log_{10}((4*pi*30)/(300/175)) ?

The solution to 20*log_{10}((4*pi*30)/(300/175)) is 20(log_{10}(120pi)-log_{10}(12/7))

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simplify 20log_{10}((4pi*30)/(300/175))

simplify

20 \cdot lo g_{10} (\frac{4 \cdot π \cdot 30}{\frac{300}{175}})

20 (lo g_{10} (120 π) - lo g_{10} (\frac{12}{7}))

Decimal Notation

46.84495 \dots

Solution steps

20 lo g_{10} (\frac{4 π 30}{\frac{300}{175}})

Apply log rule:

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

lo g_{10} (\frac{4 π 30}{\frac{300}{175}}) = lo g_{10} (4 π 30) - lo g_{10} (\frac{300}{175})

= 20 (lo g_{10} (4 \cdot 30 π) - lo g_{10} (\frac{300}{175}))

Multiply the numbers:

4 \cdot 30 = 120

= 20 (lo g_{10} (120 π) - lo g_{10} (\frac{300}{175}))

\frac{300}{175} = \frac{12}{7}

= 20 (lo g_{10} (120 π) - lo g_{10} (\frac{12}{7}))

\frac{100}{7} ln (5)

lo g_{\frac{1}{2}} (1 \cdot 1 0^{- 9})

ln (5 \cdot e^{- \frac{q}{r t}})

lo g_{3} (\frac{( 2 x )}{- 1})

ln (0.6339 \cdot π)

What is 20*log_{10}((4*pi*30)/(300/175)) ?
The solution to 20*log_{10}((4*pi*30)/(300/175)) is 20(log_{10}(120pi)-log_{10}(12/7))