What is simplify-log_{10}(1.28*10^{-12}) ?

The solution to simplify-log_{10}(1.28*10^{-12}) is -log_{10}(1.28)+12

Popular >

simplify-log_{10}(1.28*10^{-12})

simplify

- lo g_{10} (1.28 \cdot 1 0^{- 12})

- lo g_{10} (1.28) + 12

Decimal Notation

11.89279 \dots

Solution steps

- lo g_{10} (1.28 \cdot 1 0^{- 12})

Apply log rule:

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

lo g_{10} (1.28 \cdot 1 0^{- 12}) = lo g_{10} (1.28) + lo g_{10} (1 0^{- 12})

= - (lo g_{10} (1.28) + lo g_{10} (1 0^{- 12}))

Apply log rule:

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

lo g_{10} (1 0^{- 12}) = - 12 lo g_{10} (10)

= - (lo g_{10} (1.28) - 12 lo g_{10} (10))

12 lo g_{10} (10) = 12

= - (lo g_{10} (1.28) - 12)

Distribute parentheses

= - (lo g_{10} (1.28)) - (- 12)

Apply minus-plus rules

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

= - lo g_{10} (1.28) + 12

lo g_{11} (\frac{2 x ^{2}}{y ^{3} 3})

ln (\frac{x}{500})

ln (\frac{x ^{3}}{x ^{2} + 3})

2 lo g_{5} (m) - 3 lo g_{5} (n)

\frac{1}{2} ln (x^{2} + 9) + ln (\frac{3}{x ^{2} + 9})

What is simplify-log_{10}(1.28*10^{-12}) ?
The solution to simplify-log_{10}(1.28*10^{-12}) is -log_{10}(1.28)+12