What is simplify-log_{10}(7.2*10^{-6}) ?

The solution to simplify-log_{10}(7.2*10^{-6}) is -log_{10}(7.2)+6

Popular >

simplify-log_{10}(7.2*10^{-6})

simplify

- lo g_{10} (7.2 \cdot 1 0^{- 6})

- lo g_{10} (7.2) + 6

Decimal Notation

5.14266 \dots

Solution steps

- lo g_{10} (7.2 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (7.2 \cdot 1 0^{- 6}) = lo g_{10} (7.2) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (7.2) + lo g_{10} (1 0^{- 6}))

Apply log rule:

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

lo g_{10} (1 0^{- 6}) = - 6 lo g_{10} (10)

= - (lo g_{10} (7.2) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (7.2) - 6)

Distribute parentheses

= - (lo g_{10} (7.2)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (7.2) + 6

4.3279 + lo g_{10} (\frac{0.47}{0.29})

20 lo g_{10} (\frac{4 π}{299000})

ln (\frac{n ^{2} - n}{n ^{2} - n - 2})

- lo g_{10} (5 \cdot 1 0^{- 12})

3 ln (2) + ln (3)

What is simplify-log_{10}(7.2*10^{-6}) ?
The solution to simplify-log_{10}(7.2*10^{-6}) is -log_{10}(7.2)+6