What is simplify-log_{10}(2.84*10^{-3}) ?

The solution to simplify-log_{10}(2.84*10^{-3}) is -log_{10}(2.84)+3

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(2.84*10^{-3})

simplify

- lo g_{10} (2.84 \cdot 1 0^{- 3})

- lo g_{10} (2.84) + 3

Decimal Notation

2.54668 \dots

Solution steps

- lo g_{10} (2.84 \cdot 1 0^{- 3})

Apply log rule:

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

lo g_{10} (2.84 \cdot 1 0^{- 3}) = lo g_{10} (2.84) + lo g_{10} (1 0^{- 3})

= - (lo g_{10} (2.84) + lo g_{10} (1 0^{- 3}))

Apply log rule:

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

lo g_{10} (1 0^{- 3}) = - 3 lo g_{10} (10)

= - (lo g_{10} (2.84) - 3 lo g_{10} (10))

3 lo g_{10} (10) = 3

= - (lo g_{10} (2.84) - 3)

Distribute parentheses

= - (lo g_{10} (2.84)) - (- 3)

Apply minus-plus rules

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

= - lo g_{10} (2.84) + 3

2 lo g_{10} (x) - 5 lo g_{10} (x + 8)

- 2 (ln (80) - ln (100))

ln (4 e) - ln (6 e)

ln (sin (2 x) e^{- π x})

ln (\frac{3}{2}) + \frac{1}{3}

What is simplify-log_{10}(2.84*10^{-3}) ?
The solution to simplify-log_{10}(2.84*10^{-3}) is -log_{10}(2.84)+3