What is simplify-log_{10}(9.55*10^{-3}) ?

The solution to simplify-log_{10}(9.55*10^{-3}) is -log_{10}(9.55)+3

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simplify-log_{10}(9.55*10^{-3})

simplify

- lo g_{10} (9.55 \cdot 1 0^{- 3})

- lo g_{10} (9.55) + 3

Decimal Notation

2.01999 \dots

Solution steps

- lo g_{10} (9.55 \cdot 1 0^{- 3})

Apply log rule:

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

lo g_{10} (9.55 \cdot 1 0^{- 3}) = lo g_{10} (9.55) + lo g_{10} (1 0^{- 3})

= - (lo g_{10} (9.55) + 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} (9.55) - 3 lo g_{10} (10))

3 lo g_{10} (10) = 3

= - (lo g_{10} (9.55) - 3)

Distribute parentheses

= - (lo g_{10} (9.55)) - (- 3)

Apply minus-plus rules

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

= - lo g_{10} (9.55) + 3

150 lo g_{e} (\frac{350}{400 - x})

4 lo g_{10} (x + 5) - lo g_{10} (2 - x)

(ln (2) + 1.76274 + ln (3)) \cdot \frac{π}{16}

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

3 + lo g_{10} (\frac{0.7 - x}{x})

What is simplify-log_{10}(9.55*10^{-3}) ?
The solution to simplify-log_{10}(9.55*10^{-3}) is -log_{10}(9.55)+3