What is 20log_{10}(5*(20)/(10*4*30)) ?

The solution to 20log_{10}(5*(20)/(10*4*30)) is 20log_{10}(5)+20(log_{10}(20)-log_{10}(1200))

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simplify 20log_{10}(5(20)/(104*30))

simplify

20 lo g_{10} (5 \cdot \frac{20}{10 \cdot 4 \cdot 30})

20 lo g_{10} (5) + 20 (lo g_{10} (20) - lo g_{10} (1200))

Decimal Notation

- 21.58362 \dots

Solution steps

20 lo g_{10} (5 \cdot \frac{20}{10 \cdot 4 \cdot 30})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

20 lo g_{10} (5 \cdot \frac{20}{10 \cdot 4 \cdot 30}) = 20 lo g_{10} (5) + 20 lo g_{10} (\frac{20}{10 \cdot 4 \cdot 30})

= 20 lo g_{10} (5) + 20 lo g_{10} (\frac{20}{10 \cdot 4 \cdot 30})

Apply log rule:

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

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

= 20 lo g_{10} (5) + 20 (lo g_{10} (20) - lo g_{10} (10 \cdot 4 \cdot 30))

Multiply the numbers:

10 \cdot 4 \cdot 30 = 1200

= 20 lo g_{10} (5) + 20 (lo g_{10} (20) - lo g_{10} (1200))

ln (\frac{87.41}{86})

ln (\frac{80}{12})

\frac{98 π}{3} (1 + 3 ln (3) - 6 ln (2))

ln (\frac{x}{48})

lo g_{10} (2) + lo g_{10} (0.2)

What is 20log_{10}(5*(20)/(10*4*30)) ?
The solution to 20log_{10}(5*(20)/(10*4*30)) is 20log_{10}(5)+20(log_{10}(20)-log_{10}(1200))