What is simplify-log_{10}(4.31*10^{-5}) ?

The solution to simplify-log_{10}(4.31*10^{-5}) is -log_{10}(4.31)+5

Popular >

simplify-log_{10}(4.31*10^{-5})

simplify

- lo g_{10} (4.31 \cdot 1 0^{- 5})

- lo g_{10} (4.31) + 5

Decimal Notation

4.36552 \dots

Solution steps

- lo g_{10} (4.31 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (4.31 \cdot 1 0^{- 5}) = lo g_{10} (4.31) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (4.31) + lo g_{10} (1 0^{- 5}))

Apply log rule:

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

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

= - (lo g_{10} (4.31) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (4.31) - 5)

Distribute parentheses

= - (lo g_{10} (4.31)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (4.31) + 5

ln (\frac{x}{y ^{3}}) - 3 \cdot ln (\frac{1}{y}) + \frac{1}{2} \cdot ln (\frac{1}{x ^{4} y ^{2}})

ln (20) + ln (30)

5 - lo g_{10} (4.3 \cdot 1 0^{- 5})

ln (y + 1) + ln (C)

ln (2 r) - ln (r)

What is simplify-log_{10}(4.31*10^{-5}) ?
The solution to simplify-log_{10}(4.31*10^{-5}) is -log_{10}(4.31)+5