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Popular >

simplify 20log_{10}(0.1)

Solution

simplify

20 lo g_{10} (0.1)

Solution

- 20

Solution steps

20 lo g_{10} (0.1)

0.1 = \frac{1}{10}

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

\frac{1}{10} = 1 0^{- 1}

= 20 lo g_{10} (1 0^{- 1})

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{10} (1 0^{- 1}) = - 1

= 20 (- 1)

Multiply the numbers:

20 (- 1) = - 20

= - 20

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Frequently Asked Questions (FAQ)

What is 20log_{10}(0.1) ?
The solution to 20log_{10}(0.1) is -20