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Popular >

simplify-log_{10}(1*10^{-9})

Solution

simplify

- lo g_{10} (1 \cdot 1 0^{- 9})

Solution

9

Solution steps

- lo g_{10} (1 \cdot 1 0^{- 9})

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (1 \cdot 1 0^{- 9}) = lo g_{10} (1) + lo g_{10} (1 0^{- 9})

= - (lo g_{10} (1) + lo g_{10} (1 0^{- 9}))

Apply log rule:

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

lo g_{10} (1 0^{- 9}) = - 9 lo g_{10} (10)

= - (lo g_{10} (1) - 9 lo g_{10} (10))

lo g_{10} (1) = 0

9 lo g_{10} (10) = 9

= - (0 - 9)

Simplify

= 9

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Frequently Asked Questions (FAQ)

What is simplify-log_{10}(1*10^{-9}) ?
The solution to simplify-log_{10}(1*10^{-9}) is 9