What is simplify-log_{10}(6.06*10^{-12}) ?

The solution to simplify-log_{10}(6.06*10^{-12}) is -log_{10}(6.06)+12

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simplify-log_{10}(6.06*10^{-12})

simplify

- lo g_{10} (6.06 \cdot 1 0^{- 12})

- lo g_{10} (6.06) + 12

Decimal Notation

11.21752 \dots

Solution steps

- lo g_{10} (6.06 \cdot 1 0^{- 12})

Apply log rule:

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

lo g_{10} (6.06 \cdot 1 0^{- 12}) = lo g_{10} (6.06) + lo g_{10} (1 0^{- 12})

= - (lo g_{10} (6.06) + 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} (6.06) - 12 lo g_{10} (10))

12 lo g_{10} (10) = 12

= - (lo g_{10} (6.06) - 12)

Distribute parentheses

= - (lo g_{10} (6.06)) - (- 12)

Apply minus-plus rules

- (- a) = a, - (a) = - a

= - lo g_{10} (6.06) + 12

8 (ln (z) + ln (z + 9)) - 4 ln (z - 9)

ln^{2} (x) + ln (C)

\frac{19.15}{3216 \cdot 0.02} ln (\frac{1}{1 - 0.9})

lo g_{10} (\frac{y z}{x ^{4}})

ln (\frac{21}{44})

What is simplify-log_{10}(6.06*10^{-12}) ?
The solution to simplify-log_{10}(6.06*10^{-12}) is -log_{10}(6.06)+12