What is simplify-log_{10}(4.6*10^{-5}) ?

The solution to simplify-log_{10}(4.6*10^{-5}) is -log_{10}(4.6)+5

Popular >

simplify-log_{10}(4.6*10^{-5})

simplify

- lo g_{10} (4.6 \cdot 1 0^{- 5})

- lo g_{10} (4.6) + 5

Decimal Notation

4.33724 \dots

Solution steps

- lo g_{10} (4.6 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (4.6 \cdot 1 0^{- 5}) = lo g_{10} (4.6) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (4.6) + 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} (4.6) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (4.6) - 5)

Distribute parentheses

= - (lo g_{10} (4.6)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (4.6) + 5

5 ln 1 0^{x} (2 x^{6} + 2)^{2} + 9 ln 7 x^{2} - 8

ln ∣ tan (3 x) + sec (3 x) ∣ + \frac{1}{3} ln ∣ cos (3 x) ∣ + C

lo g_{e} (\frac{3}{5})

lo g_{2} ((x^{3} + 2) (x - 2)^{3})

- \frac{1}{0.024} ln (\frac{6 - 1}{4.2})

What is simplify-log_{10}(4.6*10^{-5}) ?
The solution to simplify-log_{10}(4.6*10^{-5}) is -log_{10}(4.6)+5