What is simplify-log_{10}(7.9*10^{-5}) ?

The solution to simplify-log_{10}(7.9*10^{-5}) is -log_{10}(7.9)+5

Popular >

simplify-log_{10}(7.9*10^{-5})

simplify

- lo g_{10} (7.9 \cdot 1 0^{- 5})

- lo g_{10} (7.9) + 5

Decimal Notation

4.10237 \dots

Solution steps

- lo g_{10} (7.9 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (7.9 \cdot 1 0^{- 5}) = lo g_{10} (7.9) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (7.9) + 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} (7.9) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (7.9) - 5)

Distribute parentheses

= - (lo g_{10} (7.9)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (7.9) + 5

\frac{1}{2} lo g_{c} (x) + 4 lo g_{c} (y) - 2 lo g_{c} (x)

ln (a b^{2})

lo g_{10} (x) + 3 lo g_{10} (y) - 4 lo g_{10} (z)

ln (z (z - 1)^{2})

ln (\frac{6.05 + 8.05}{31.8})

What is simplify-log_{10}(7.9*10^{-5}) ?
The solution to simplify-log_{10}(7.9*10^{-5}) is -log_{10}(7.9)+5