What is 20*log_{10}((x*2pi*3)/((10*0.02))) ?

The solution to 20*log_{10}((x*2pi*3)/((10*0.02))) is 20(log_{10}(6pix)-log_{10}(0.2))

Popular >

simplify 20log_{10}((x2pi3)/((100.02)))

simplify

20 \cdot lo g_{10} (\frac{x \cdot 2 π \cdot 3}{( 10 \cdot 0.02 )})

20 (lo g_{10} (6 π x) - lo g_{10} (0.2))

Solution steps

20 lo g_{10} (\frac{x \cdot 2 π 3}{( 10 \cdot 0.02 )})

Apply log rule:

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

lo g_{10} (\frac{x \cdot 2 π 3}{( 10 \cdot 0.02 )}) = lo g_{10} (x \cdot 2 π 3) - lo g_{10} ((10 \cdot 0.02))

= 20 (lo g_{10} (2 \cdot 3 π x) - lo g_{10} (10 \cdot 0.02))

Multiply the numbers:

2 \cdot 3 = 6

= 20 (lo g_{10} (6 π x) - lo g_{10} (10 \cdot 0.02))

Multiply the numbers:

10 \cdot 0.02 = 0.2

= 20 (lo g_{10} (6 π x) - lo g_{10} (0.2))

lo g_{10} (116 - x^{2}) - 2 lo g_{10} (x - 1)

5 (ln ∣ 1 - 5 ∣ - ln ∣ 1 - 4 ∣) + 1

ln (a \cdot e^{x})

3 lo g_{a} (x) - \frac{1}{4} lo g_{a} (w) + 7 lo g_{a} (y)

- ln (7 e^{- x})

What is 20*log_{10}((x*2pi*3)/((10*0.02))) ?
The solution to 20*log_{10}((x*2pi*3)/((10*0.02))) is 20(log_{10}(6pix)-log_{10}(0.2))