What is simplify-log_{10}(8.4*10^{-10}) ?

The solution to simplify-log_{10}(8.4*10^{-10}) is -log_{10}(8.4)+10

Popular >

simplify-log_{10}(8.4*10^{-10})

simplify

- lo g_{10} (8.4 \cdot 1 0^{- 10})

- lo g_{10} (8.4) + 10

Decimal Notation

9.07572 \dots

Solution steps

- lo g_{10} (8.4 \cdot 1 0^{- 10})

Apply log rule:

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

lo g_{10} (8.4 \cdot 1 0^{- 10}) = lo g_{10} (8.4) + lo g_{10} (1 0^{- 10})

= - (lo g_{10} (8.4) + lo g_{10} (1 0^{- 10}))

Apply log rule:

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

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

= - (lo g_{10} (8.4) - 10 lo g_{10} (10))

10 lo g_{10} (10) = 10

= - (lo g_{10} (8.4) - 10)

Distribute parentheses

= - (lo g_{10} (8.4)) - (- 10)

Apply minus-plus rules

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

= - lo g_{10} (8.4) + 10

5 lo g_{m} (w) - \frac{1}{5} lo g_{m} (z) + 7 lo g_{m} (y)

\frac{( ( ln ( 1.1 ) - ln ( 0.9 ) ) )}{0.2}

lo g_{e} (\frac{5}{27})

- [\frac{1}{5} lo g_{2} (\frac{1}{5}) + \frac{4}{5} lo g_{2} (\frac{4}{5})]

ln (7) + ln (3)

What is simplify-log_{10}(8.4*10^{-10}) ?
The solution to simplify-log_{10}(8.4*10^{-10}) is -log_{10}(8.4)+10