What is log_{10}(((4*10^{-7}))/((10^{-12))}) ?

The solution to log_{10}(((4*10^{-7}))/((10^{-12))}) is log_{10}(4)-7log_{10}(10)--12log_{10}(10)

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Popular >

simplify log_{10}(((4*10^{-7}))/((10^{-12))})

simplify

lo g_{10} (\frac{( 4 \cdot 1 0 ^{- 7} )}{( 1 0 ^{- 12} )})

lo g_{10} (4) - 7 lo g_{10} (10) - - 12 lo g_{10} (10)

Decimal

- 18.39794 \dots

Solution steps

lo g_{10} (\frac{( 4 \cdot 1 0 ^{- 7} )}{( 1 0 ^{- 12} )})

Apply log rule:

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

lo g_{10} (\frac{( 4 \cdot 1 0 ^{- 7} )}{( 1 0 ^{- 12} )}) = lo g_{10} ((4 \cdot 1 0^{- 7})) - lo g_{10} ((1 0^{- 12}))

= lo g_{10} (1 0^{- 7} \cdot 4) - 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)

= lo g_{10} (4 \cdot 1 0^{- 7}) - - 12 lo g_{10} (10)

Apply log rule:

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

lo g_{10} (4 \cdot 1 0^{- 7}) = lo g_{10} (4) + lo g_{10} (1 0^{- 7})

= lo g_{10} (4) + lo g_{10} (1 0^{- 7}) - - 12 lo g_{10} (10)

Apply log rule:

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

lo g_{10} (1 0^{- 7}) = - 7 lo g_{10} (10)

= lo g_{10} (4) - 7 lo g_{10} (10) - - 12 lo g_{10} (10)

ln (\frac{41}{140})

2 lo g_{10} (6) - 0.5 lo g_{10} (9)

lo g_{10} (60 e^{0.032 \cdot 5})

3 ln (x + 5) - ln (x + 2)

107.22 - 35 + 10 \cdot lo g_{10} (\frac{12}{32})

What is log_{10}(((4*10^{-7}))/((10^{-12))}) ?
The solution to log_{10}(((4*10^{-7}))/((10^{-12))}) is log_{10}(4)-7log_{10}(10)--12log_{10}(10)