What is simplify-log_{10}(1.90691*10^{-6}) ?

The solution to simplify-log_{10}(1.90691*10^{-6}) is -log_{10}(1.90691)+6

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simplify-log_{10}(1.90691*10^{-6})

simplify

- lo g_{10} (1.90691 \cdot 1 0^{- 6})

- lo g_{10} (1.90691) + 6

Decimal Notation

5.71966 \dots

Solution steps

- lo g_{10} (1.90691 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (1.90691 \cdot 1 0^{- 6}) = lo g_{10} (1.90691) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (1.90691) + lo g_{10} (1 0^{- 6}))

Apply log rule:

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

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

= - (lo g_{10} (1.90691) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (1.90691) - 6)

Distribute parentheses

= - (lo g_{10} (1.90691)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (1.90691) + 6

- \frac{1}{2} ln (\frac{1}{2}) + \frac{1}{2}

ln (\frac{3}{4055})

ln (\frac{x ^{2} x - 4}{4 x + 1})

ln (\frac{x ^{4} x ^{2} + 2}{( x + 2 ) ^{9}})

0.52 \cdot ln (\frac{405.37}{451})

What is simplify-log_{10}(1.90691*10^{-6}) ?
The solution to simplify-log_{10}(1.90691*10^{-6}) is -log_{10}(1.90691)+6