What is simplify-log_{10}(9.5*10^{-12}) ?

The solution to simplify-log_{10}(9.5*10^{-12}) is -log_{10}(9.5)+12

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(9.5*10^{-12})

simplify

- lo g_{10} (9.5 \cdot 1 0^{- 12})

- lo g_{10} (9.5) + 12

Decimal Notation

11.02227 \dots

Solution steps

- lo g_{10} (9.5 \cdot 1 0^{- 12})

Apply log rule:

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

lo g_{10} (9.5 \cdot 1 0^{- 12}) = lo g_{10} (9.5) + lo g_{10} (1 0^{- 12})

= - (lo g_{10} (9.5) + lo g_{10} (1 0^{- 12}))

Apply log rule:

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

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

= - (lo g_{10} (9.5) - 12 lo g_{10} (10))

12 lo g_{10} (10) = 12

= - (lo g_{10} (9.5) - 12)

Distribute parentheses

= - (lo g_{10} (9.5)) - (- 12)

Apply minus-plus rules

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

= - lo g_{10} (9.5) + 12

ln (\frac{- i}{e ^{π}})

ln (\frac{y}{x ^{2}})

2 ln (3 x) - ln (x)

0.6 ln (760) + 0.6 ln (912)

ln (5000.5) - ln (5000)

What is simplify-log_{10}(9.5*10^{-12}) ?
The solution to simplify-log_{10}(9.5*10^{-12}) is -log_{10}(9.5)+12