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

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

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simplify 20log_{10}(pi/4)

simplify

20 lo g_{10} (\frac{π}{4})

20 (lo g_{10} (π) - 2 lo g_{10} (2))

Decimal

- 2.09820 \dots

Solution steps

20 lo g_{10} (\frac{π}{4})

Apply log rule:

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

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

= 20 (lo g_{10} (π) - lo g_{10} (4))

lo g_{10} (4) = 2 lo g_{10} (2)

= 20 (lo g_{10} (π) - 2 lo g_{10} (2))

- \frac{1}{3} ln (\frac{1}{2})

lo g_{5} (\frac{d}{125})

ln (\frac{1}{A} e^{x + 6})

ln (3) + \frac{2}{3} ln (\frac{16}{10})

ln^{3} (\frac{1 + x}{1 - e ^{2 x}})

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