What is 20*log_{10}((10)/(sqrt(0.24))) ?

The solution to 20*log_{10}((10)/(sqrt(0.24))) is 20(1-1/2 log_{10}(0.24))

Popular >

simplify 20*log_{10}((10)/(sqrt(0.24)))

simplify

20 \cdot lo g_{10} (\frac{10}{0.24})

20 (1 - \frac{1}{2} lo g_{10} (0.24))

Decimal Notation

26.19788 \dots

Solution steps

20 lo g_{10} (\frac{10}{0.24})

Apply log rule:

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

lo g_{10} (\frac{10}{0.24}) = lo g_{10} (10) - lo g_{10} (0.24)

= 20 (lo g_{10} (10) - lo g_{10} (0.24))

lo g_{10} (10) = 1

lo g_{10} (0.24) = \frac{1}{2} lo g_{10} (0.24)

= 20 (- \frac{1}{2} lo g_{10} (0.24) + 1)

ln (\frac{e ^{x + x yz}}{e ^{x + x yz} + e ^{y}})

0.2 lo g_{2} (0.2) + 0.8 lo g_{2} (0.8)

- lo g_{10} (3.8 \cdot 1 0^{- 3})

\frac{ln ( 10 )}{2 ln ( 2 ) - ln ( 5 )}

\frac{9}{10} ln (30)

What is 20*log_{10}((10)/(sqrt(0.24))) ?
The solution to 20*log_{10}((10)/(sqrt(0.24))) is 20(1-1/2 log_{10}(0.24))