What is simplify-log_{10}(5.4x10^{-4}) ?

The solution to simplify-log_{10}(5.4x10^{-4}) is -log_{10}(5.4)-log_{10}(x)+4

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(5.4x10^{-4})

simplify

- lo g_{10} (5.4 x 1 0^{- 4})

- lo g_{10} (5.4) - lo g_{10} (x) + 4

Solution steps

- lo g_{10} (5.4 x \cdot 1 0^{- 4})

Apply log rule:

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

lo g_{10} (5.4 x \cdot 1 0^{- 4}) = lo g_{10} (5.4) + lo g_{10} (x) + lo g_{10} (1 0^{- 4})

= - (lo g_{10} (x) + lo g_{10} (5.4) + 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} (5.4) + lo g_{10} (x) - 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (x) + lo g_{10} (5.4) - 4)

Distribute parentheses

= - (lo g_{10} (5.4)) - (lo g_{10} (x)) - (- 4)

Apply minus-plus rules

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

= - lo g_{10} (5.4) - lo g_{10} (x) + 4

lo g_{2} (\frac{π ^{2}}{30})

ln (x^{6} e^{- x^{2}})

e^{l n (2 x)} e^{9} + ln (20 x)

ln (\frac{2 ^{2}}{3 ^{4} 5 ^{3}})

2 ln (x) + ln (z)

What is simplify-log_{10}(5.4x10^{-4}) ?
The solution to simplify-log_{10}(5.4x10^{-4}) is -log_{10}(5.4)-log_{10}(x)+4