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Popular >

simplify log_{10}(1/(sqrt(1000)))

Solution

simplify

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

Solution

- \frac{3}{2}

+1

Decimal Notation

- 1.5

Solution steps

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

\frac{1}{1000} = 1 0^{- \frac{3}{2}}

= lo g_{10} (1 0^{- \frac{3}{2}})

Apply log rule:

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

= - \frac{3}{2}

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Frequently Asked Questions (FAQ)

What is log_{10}(1/(sqrt(1000))) ?
The solution to log_{10}(1/(sqrt(1000))) is -3/2