What is (10)log_{10}((2*10^{-8})/(10^{-12)}) ?

The solution to (10)log_{10}((2*10^{-8})/(10^{-12)}) is 10(log_{10}(2*10^{-8})--12log_{10}(10))

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simplify (10)log_{10}((2*10^{-8})/(10^{-12)})

simplify

(10) lo g_{10} (\frac{2 \cdot 1 0 ^{- 8}}{1 0 ^{- 12}})

10 (lo g_{10} (2 \cdot 1 0^{- 8}) - - 12 lo g_{10} (10))

Decimal Notation

- 196.98970 \dots

Solution steps

(10) lo g_{10} (\frac{2 \cdot 1 0 ^{- 8}}{1 0 ^{- 12}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{2 \cdot 1 0 ^{- 8}}{1 0 ^{- 12}}) = lo g_{10} (2 \cdot 1 0^{- 8}) - lo g_{10} (1 0^{- 12})

= 10 (lo g_{10} (1 0^{- 8} \cdot 2) - lo g_{10} (1 0^{- 12}))

Apply log rule:

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

lo g_{10} (1 0^{- 12}) = - 12 lo g_{10} (10)

= 10 (lo g_{10} (2 \cdot 1 0^{- 8}) - - 12 lo g_{10} (10))

\frac{π}{3} ln (2)

- lo g_{10} (9.6 \cdot 1 0^{- 4})

ln ∣ p ∣ - ln ∣ o ∣

lo g_{10} (2 π \cdot 400.2 \cdot 5.03 \cdot 9.566)

ln (\frac{113}{5})

What is (10)log_{10}((2*10^{-8})/(10^{-12)}) ?
The solution to (10)log_{10}((2*10^{-8})/(10^{-12)}) is 10(log_{10}(2*10^{-8})--12log_{10}(10))