What is simplify-log_{10}(5.5*10^{-3}*2) ?

The solution to simplify-log_{10}(5.5*10^{-3}*2) is -log_{10}(5.5)+3-log_{10}(2)

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Popular >

simplify-log_{10}(5.510^{-3}2)

simplify

- lo g_{10} (5.5 \cdot 1 0^{- 3} \cdot 2)

- lo g_{10} (5.5) + 3 - lo g_{10} (2)

Decimal Notation

1.95860 \dots

Solution steps

- lo g_{10} (5.5 \cdot 1 0^{- 3} \cdot 2)

Apply log rule:

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

lo g_{10} (5.5 \cdot 1 0^{- 3} \cdot 2) = lo g_{10} (5.5) + lo g_{10} (1 0^{- 3}) + lo g_{10} (2)

= - (lo g_{10} (2) + lo g_{10} (5.5) + lo g_{10} (1 0^{- 3}))

Apply log rule:

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

lo g_{10} (1 0^{- 3}) = - 3 lo g_{10} (10)

= - (lo g_{10} (5.5) - 3 lo g_{10} (10) + lo g_{10} (2))

3 lo g_{10} (10) = 3

= - (lo g_{10} (2) + lo g_{10} (5.5) - 3)

Distribute parentheses

= - (lo g_{10} (5.5)) - (- 3) - (lo g_{10} (2))

Apply minus-plus rules

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

= - lo g_{10} (5.5) + 3 - lo g_{10} (2)

6 lo g_{3} (y) - \frac{1}{4} lo g_{3} (z) + 5 lo g_{3} (x)

\frac{1}{2} ln ∣ y - 1 ∣ - \frac{1}{2} ln ∣ y + 1 ∣

lo g_{10} (2) - lo g_{10} (20.2)

- 50 ln (\frac{2}{3})

- lo g_{10} (1.17 \cdot 1 0^{- 6})

What is simplify-log_{10}(5.5*10^{-3}*2) ?
The solution to simplify-log_{10}(5.5*10^{-3}*2) is -log_{10}(5.5)+3-log_{10}(2)