What is simplify-log_{10}(1.5*10^{-11}) ?

The solution to simplify-log_{10}(1.5*10^{-11}) is -log_{10}(1.5)+11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1.5*10^{-11})

simplify

- lo g_{10} (1.5 \cdot 1 0^{- 11})

- lo g_{10} (1.5) + 11

Decimal Notation

10.82390 \dots

Solution steps

- lo g_{10} (1.5 \cdot 1 0^{- 11})

Apply log rule:

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

lo g_{10} (1.5 \cdot 1 0^{- 11}) = lo g_{10} (1.5) + lo g_{10} (1 0^{- 11})

= - (lo g_{10} (1.5) + lo g_{10} (1 0^{- 11}))

Apply log rule:

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

lo g_{10} (1 0^{- 11}) = - 11 lo g_{10} (10)

= - (lo g_{10} (1.5) - 11 lo g_{10} (10))

11 lo g_{10} (10) = 11

= - (lo g_{10} (1.5) - 11)

Distribute parentheses

= - (lo g_{10} (1.5)) - (- 11)

Apply minus-plus rules

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

= - lo g_{10} (1.5) + 11

ln (2.2) + (ln (4.3)) + ln (6.15)

ln (\frac{x ^{2} - 6 x - 27}{x - 7})

ln (\frac{( 2 - y )}{( 1 - y )})

ln (x y^{8} z^{9})

ln (π) + ln (2)

What is simplify-log_{10}(1.5*10^{-11}) ?
The solution to simplify-log_{10}(1.5*10^{-11}) is -log_{10}(1.5)+11