What is simplify-log_{10}(1\times 10^{-9}) ?

The solution to simplify-log_{10}(1\times 10^{-9}) is 9

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1\times 10^{-9})

simplify

- lo g_{10} (1 \cdot 1 0^{- 9})

9

Solution steps

- lo g_{10} (1 \cdot 1 0^{- 9})

Apply log rule:

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

lo g_{10} (1 \cdot 1 0^{- 9}) = lo g_{10} (1) + lo g_{10} (1 0^{- 9})

= - (lo g_{10} (1) + lo g_{10} (1 0^{- 9}))

Apply log rule:

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

lo g_{10} (1 0^{- 9}) = - 9 lo g_{10} (10)

= - (lo g_{10} (1) - 9 lo g_{10} (10))

lo g_{10} (1) = 0

9 lo g_{10} (10) = 9

= - (0 - 9)

Simplify

= 9

lo g_{b} (\frac{p ^{3} q ^{6}}{m ^{3} b ^{9}})

lo g_{8} (\frac{5}{x})

16 lo g_{4} (a) - 4 lo g_{4} (b)

lo g_{a} (x^{2} y)

What is simplify-log_{10}(1\times 10^{-9}) ?
The solution to simplify-log_{10}(1\times 10^{-9}) is 9