What is simplify-log_{10}(1.3(10^{-4})) ?

The solution to simplify-log_{10}(1.3(10^{-4})) is -log_{10}(1.3)+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(1.3(10^{-4}))

simplify

- lo g_{10} (1.3 (1 0^{- 4}))

- lo g_{10} (1.3) + 4

Decimal Notation

3.88605 \dots

Solution steps

- lo g_{10} (1.3 (1 0^{- 4}))

Apply log rule:

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

lo g_{10} (1.3 (1 0^{- 4})) = lo g_{10} (1.3) + lo g_{10} (1 0^{- 4})

= - (lo g_{10} (1.3) + lo g_{10} (1 0^{- 4}))

Apply log rule:

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

lo g_{10} (1 0^{- 4}) = - 4 lo g_{10} (10)

= - (lo g_{10} (1.3) - 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (1.3) - 4)

Distribute parentheses

= - (lo g_{10} (1.3)) - (- 4)

Apply minus-plus rules

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

= - lo g_{10} (1.3) + 4

ln (6^{4})

ln (\frac{x + 3}{e ^{8 x}})

3 lo g_{8} (x + 2) - lo g_{8} (x)

lo g_{e} (x) + lo g_{e} (y)

What is simplify-log_{10}(1.3(10^{-4})) ?
The solution to simplify-log_{10}(1.3(10^{-4})) is -log_{10}(1.3)+4