What is 10log_{10}((10^{-6})/(10^{-12)}) ?

The solution to 10log_{10}((10^{-6})/(10^{-12)}) is 60

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify 10log_{10}((10^{-6})/(10^{-12)})

simplify

10 lo g_{10} (\frac{1 0 ^{- 6}}{1 0 ^{- 12}})

60

Solution steps

10 lo g_{10} (\frac{1 0 ^{- 6}}{1 0 ^{- 12}})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{1 0 ^{- 6}}{1 0 ^{- 12}}) = lo g_{10} (1 0^{- 6}) - lo g_{10} (1 0^{- 12})

= 10 (lo g_{10} (1 0^{- 6}) - lo g_{10} (1 0^{- 12}))

lo g_{10} (1 0^{- 6}) - lo g_{10} (1 0^{- 12}) = 6

= 10 \cdot 6

Multiply the numbers:

10 \cdot 6 = 60

= 60

- 2 \cdot 8

- lo g_{10} (0)

lo g_{8} (12)

\frac{1}{t}

(m + 4)^{2}

What is 10log_{10}((10^{-6})/(10^{-12)}) ?
The solution to 10log_{10}((10^{-6})/(10^{-12)}) is 60