What is simplify-log_{10}(3.39880433\times 10^{-5}) ?

The solution to simplify-log_{10}(3.39880433\times 10^{-5}) is -log_{10}(3.39880433)+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(3.39880433\times 10^{-5})

simplify

- lo g_{10} (3.39880433 \cdot 1 0^{- 5})

- lo g_{10} (3.39880433) + 5

Decimal Notation

4.46867 \dots

Solution steps

- lo g_{10} (3.39880433 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (3.39880433 \cdot 1 0^{- 5}) = lo g_{10} (3.39880433) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (1 0^{- 5}) + lo g_{10} (3.39880433))

Apply log rule:

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

lo g_{10} (1 0^{- 5}) = - 5 lo g_{10} (10)

= - (lo g_{10} (3.39880433) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (3.39880433) - 5)

Distribute parentheses

= - (lo g_{10} (3.39880433)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (3.39880433) + 5

lo g_{10} (\frac{7 z}{10})

ln (\frac{7 y}{5 z})

lo g_{4} (\frac{4}{x})

lo g_{a} (4 s^{2})

- 4 ln (- 2) - \frac{8}{3} - ln (- 3) - \frac{3}{2}

What is simplify-log_{10}(3.39880433\times 10^{-5}) ?
The solution to simplify-log_{10}(3.39880433\times 10^{-5}) is -log_{10}(3.39880433)+5