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Popular >

simplify-log_{10}(0.001)

Solution

simplify

- lo g_{10} (0.001)

Solution

3

Solution steps

- lo g_{10} (0.001)

0.001 = \frac{1}{1000}

= - lo g_{10} (\frac{1}{1000})

\frac{1}{1000} = 1 0^{- 3}

= - lo g_{10} (1 0^{- 3})

Apply log rule:

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

lo g_{10} (1 0^{- 3}) = - 3

= - (- 3)

Apply rule:

- (- a) = a

- (- 3) = 3

= 3

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Frequently Asked Questions (FAQ)

What is simplify-log_{10}(0.001) ?
The solution to simplify-log_{10}(0.001) is 3