What is simplify-log_{10}(6.6*10^{-8}) ?

The solution to simplify-log_{10}(6.6*10^{-8}) is -log_{10}(6.6)+8

Popular >

simplify-log_{10}(6.6*10^{-8})

simplify

- lo g_{10} (6.6 \cdot 1 0^{- 8})

- lo g_{10} (6.6) + 8

Decimal Notation

7.18045 \dots

Solution steps

- lo g_{10} (6.6 \cdot 1 0^{- 8})

Apply log rule:

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

lo g_{10} (6.6 \cdot 1 0^{- 8}) = lo g_{10} (6.6) + lo g_{10} (1 0^{- 8})

= - (lo g_{10} (6.6) + lo g_{10} (1 0^{- 8}))

Apply log rule:

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

lo g_{10} (1 0^{- 8}) = - 8 lo g_{10} (10)

= - (lo g_{10} (6.6) - 8 lo g_{10} (10))

8 lo g_{10} (10) = 8

= - (lo g_{10} (6.6) - 8)

Distribute parentheses

= - (lo g_{10} (6.6)) - (- 8)

Apply minus-plus rules

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

= - lo g_{10} (6.6) + 8

ln (\frac{x - sin ( x )}{x + sin ( x )})

lo g_{2} ((x^{3} + 2) (x - 8)^{3})

ln (\frac{n ^{2} + 1}{2 n ^{2} + 1})

ln (8) + ln (10) - ln (14) - ln (4)

ln (\frac{20}{5})

What is simplify-log_{10}(6.6*10^{-8}) ?
The solution to simplify-log_{10}(6.6*10^{-8}) is -log_{10}(6.6)+8