What is simplify-log_{10}(3.383*10^{-4}) ?

The solution to simplify-log_{10}(3.383*10^{-4}) is -log_{10}(3.383)+4

Popular >

simplify-log_{10}(3.383*10^{-4})

simplify

- lo g_{10} (3.383 \cdot 1 0^{- 4})

- lo g_{10} (3.383) + 4

Decimal Notation

3.47069 \dots

Solution steps

- lo g_{10} (3.383 \cdot 1 0^{- 4})

Apply log rule:

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

lo g_{10} (3.383 \cdot 1 0^{- 4}) = lo g_{10} (3.383) + lo g_{10} (1 0^{- 4})

= - (lo g_{10} (3.383) + lo g_{10} (1 0^{- 4}))

Apply log rule:

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

lo g_{10} (1 0^{- 4}) = - 4 lo g_{10} (10)

= - (lo g_{10} (3.383) - 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (3.383) - 4)

Distribute parentheses

= - (lo g_{10} (3.383)) - (- 4)

Apply minus-plus rules

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

= - lo g_{10} (3.383) + 4

lo g_{x} (\frac{a}{b ^{2}})

ln (x + 4) + ln (x - 4)

lo g_{10} (5) + lo g_{10} (x) - lo g_{10} (y)

lo g_{10} (x) + lo g_{10} (x - 7) - lo g_{10} (3)

lo g_{2} (x^{4} \frac{y}{z ^{3}})

What is simplify-log_{10}(3.383*10^{-4}) ?
The solution to simplify-log_{10}(3.383*10^{-4}) is -log_{10}(3.383)+4