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Popular >

simplify 2log_{10}(100^{-3})

Solution

simplify

2 lo g_{10} (10 0^{- 3})

Solution

- 12

Solution steps

2 lo g_{10} (10 0^{- 3})

10 0^{- 3} = 1 0^{- 6}

= 2 lo g_{10} (1 0^{- 6})

Apply log rule:

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

lo g_{10} (1 0^{- 6}) = - 6

= 2 (- 6)

Multiply the numbers:

2 (- 6) = - 12

= - 12

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Frequently Asked Questions (FAQ)

What is 2log_{10}(100^{-3}) ?
The solution to 2log_{10}(100^{-3}) is -12