What is simplify-log_{10}(1x10^{-11}) ?

The solution to simplify-log_{10}(1x10^{-11}) is -log_{10}(x)+11

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1x10^{-11})

simplify

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

- lo g_{10} (x) + 11

Solution steps

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

Apply log rule:

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

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

= - (lo g_{10} (x) + lo g_{10} (1) + 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) + lo g_{10} (x) - 11 lo g_{10} (10))

lo g_{10} (1) = 0

11 lo g_{10} (10) = 11

= - (lo g_{10} (x) + 0 - 11)

Simplify

0 + lo g_{10} (x) - 11 : lo g_{10} (x) - 11

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

Distribute parentheses

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

Apply minus-plus rules

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

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

lo g_{10} (\frac{z}{y ^{3} x ^{2}})

lo g_{3} (x) - lo g_{3} (4)

lo g_{10} (\frac{x ^{3} y ^{2}}{z})

lo g_{3} (13 x)

- lo g_{10} (4 x)

What is simplify-log_{10}(1x10^{-11}) ?
The solution to simplify-log_{10}(1x10^{-11}) is -log_{10}(x)+11