What is simplify-log_{10}(7.3X10^{-5}) ?

The solution to simplify-log_{10}(7.3X10^{-5}) is -log_{10}(7.3)-log_{10}(X)+5

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify-log_{10}(7.3X10^{-5})

simplify

- lo g_{10} (7.3 X 1 0^{- 5})

- lo g_{10} (7.3) - lo g_{10} (X) + 5

Solution steps

- lo g_{10} (7.3 X \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (7.3 X \cdot 1 0^{- 5}) = lo g_{10} (7.3) + lo g_{10} (X) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (X) + lo g_{10} (7.3) + lo g_{10} (1 0^{- 5}))

Apply log rule:

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

lo g_{10} (1 0^{- 5}) = - 5 lo g_{10} (10)

= - (lo g_{10} (7.3) + lo g_{10} (X) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (X) + lo g_{10} (7.3) - 5)

Distribute parentheses

= - (lo g_{10} (7.3)) - (lo g_{10} (X)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (7.3) - lo g_{10} (X) + 5

\frac{1}{2} ln (\frac{x + 1}{x - 1})

4 lo g_{10} (x) + 4 lo g_{10} (y)

4 lo g_{10} (x) - 6 lo g_{10} (y)

\frac{1}{2} lo g_{e} (\frac{1 + x}{1 - x})

\frac{ln ( \frac{15}{2} )}{2 ln ( 2 )}

What is simplify-log_{10}(7.3X10^{-5}) ?
The solution to simplify-log_{10}(7.3X10^{-5}) is -log_{10}(7.3)-log_{10}(X)+5