What is simplify-log_{10}(5*10^{-11}) ?

The solution to simplify-log_{10}(5*10^{-11}) is -log_{10}(5)+11

Popular >

simplify-log_{10}(5*10^{-11})

simplify

- lo g_{10} (5 \cdot 1 0^{- 11})

- lo g_{10} (5) + 11

Decimal Notation

10.30102 \dots

Solution steps

- lo g_{10} (5 \cdot 1 0^{- 11})

Apply log rule:

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

lo g_{10} (5 \cdot 1 0^{- 11}) = lo g_{10} (5) + lo g_{10} (1 0^{- 11})

= - (lo g_{10} (5) + lo g_{10} (1 0^{- 11}))

Apply log rule:

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

lo g_{10} (1 0^{- 11}) = - 11 lo g_{10} (10)

= - (lo g_{10} (5) - 11 lo g_{10} (10))

11 lo g_{10} (10) = 11

= - (lo g_{10} (5) - 11)

Distribute parentheses

= - (lo g_{10} (5)) - (- 11)

Apply minus-plus rules

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

= - lo g_{10} (5) + 11

\frac{ln ( 2 + 0.00005 ) - ln ( 2 )}{0.00005}

lo g_{10} (\frac{x ^{4}}{z})

ln (1 + 2) - \frac{1}{2} ln (3)

ln (\frac{\frac{20000}{17} - 1}{1199})

ln (x^{2} - 9) - ln (2 x^{2} - 5 x - 3) + ln ((x + 3)^{- 2})

What is simplify-log_{10}(5*10^{-11}) ?
The solution to simplify-log_{10}(5*10^{-11}) is -log_{10}(5)+11