What is simplify-log_{10}(2.07(10^{-6})) ?

The solution to simplify-log_{10}(2.07(10^{-6})) is -log_{10}(2.07)+6

Popular >

simplify-log_{10}(2.07(10^{-6}))

simplify

- lo g_{10} (2.07 (1 0^{- 6}))

- lo g_{10} (2.07) + 6

Decimal Notation

5.68402 \dots

Solution steps

- lo g_{10} (2.07 (1 0^{- 6}))

Apply log rule:

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

lo g_{10} (2.07 (1 0^{- 6})) = lo g_{10} (2.07) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (2.07) + 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} (2.07) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (2.07) - 6)

Distribute parentheses

= - (lo g_{10} (2.07)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (2.07) + 6

ln (a r (a x)^{r - 1} e^{- (a x)^{r}})

3 ln (2) + 4 ln (5)

lo g_{10} (\frac{x ^{5}}{z y ^{3}})

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

ln (e^{- t} sin (t))

What is simplify-log_{10}(2.07(10^{-6})) ?
The solution to simplify-log_{10}(2.07(10^{-6})) is -log_{10}(2.07)+6