What is 20*log_{10}(0.5) ?

The solution to 20*log_{10}(0.5) is -20log_{10}(2)

Popular >

simplify 20*log_{10}(0.5)

simplify

20 \cdot lo g_{10} (0.5)

- 20 lo g_{10} (2)

Decimal Notation

- 6.02059 \dots

Solution steps

20 lo g_{10} (0.5)

0.5 = \frac{5}{10}

= 20 lo g_{10} (\frac{5}{10})

Cancel the numbers:

\frac{5}{10} = \frac{1}{2}

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

\frac{1}{2} = 2^{- 1}

= 20 lo g_{10} (2^{- 1})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{10} (2^{- 1}) = - 1 \cdot lo g_{10} (2)

= 20 (- 1 \cdot lo g_{10} (2))

Apply rule:

1 \cdot a = a

- 1 \cdot lo g_{10} (2) = - lo g_{10} (2)

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

Apply rule:

a (- b) = - ab

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

= - 20 lo g_{10} (2)

(7 i) (- 7 i)

\frac{x ^{\frac{2}{3}}}{x ^{\frac{1}{3}}}

4 \times \frac{3}{5}

9 (0.3 p + 10 p - 8) - 8 p

\frac{- 1 + 5 i}{- 8 - 7 i}