What is simplify-log_{10}(1.45*10^{-11}) ?

The solution to simplify-log_{10}(1.45*10^{-11}) is -log_{10}(1.45)+11

Popular >

simplify-log_{10}(1.45*10^{-11})

simplify

- lo g_{10} (1.45 \cdot 1 0^{- 11})

- lo g_{10} (1.45) + 11

Decimal Notation

10.83863 \dots

Solution steps

- lo g_{10} (1.45 \cdot 1 0^{- 11})

Apply log rule:

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

lo g_{10} (1.45 \cdot 1 0^{- 11}) = lo g_{10} (1.45) + lo g_{10} (1 0^{- 11})

= - (lo g_{10} (1.45) + 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} (1.45) - 11 lo g_{10} (10))

11 lo g_{10} (10) = 11

= - (lo g_{10} (1.45) - 11)

Distribute parentheses

= - (lo g_{10} (1.45)) - (- 11)

Apply minus-plus rules

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

= - lo g_{10} (1.45) + 11

lo g_{3} ((\frac{x}{y ^{2}})^{2})

\frac{19.16}{0.0004 \cdot 60 \cdot 0.02} ln (\frac{1}{1 - 0.9})

ln (x^{2} + 1 + x^{4}) - ln (4 + 17)

\frac{1}{- 30} ln (\frac{7}{12})

100 + 20 \cdot ln (\frac{65}{65 - 38})

What is simplify-log_{10}(1.45*10^{-11}) ?
The solution to simplify-log_{10}(1.45*10^{-11}) is -log_{10}(1.45)+11