What is simplify-log_{10}(2.8*10^{-10}) ?

The solution to simplify-log_{10}(2.8*10^{-10}) is -log_{10}(2.8)+10

Popular >

simplify-log_{10}(2.8*10^{-10})

simplify

- lo g_{10} (2.8 \cdot 1 0^{- 10})

- lo g_{10} (2.8) + 10

Decimal Notation

9.55284 \dots

Solution steps

- lo g_{10} (2.8 \cdot 1 0^{- 10})

Apply log rule:

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

lo g_{10} (2.8 \cdot 1 0^{- 10}) = lo g_{10} (2.8) + lo g_{10} (1 0^{- 10})

= - (lo g_{10} (2.8) + lo g_{10} (1 0^{- 10}))

Apply log rule:

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

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

= - (lo g_{10} (2.8) - 10 lo g_{10} (10))

10 lo g_{10} (10) = 10

= - (lo g_{10} (2.8) - 10)

Distribute parentheses

= - (lo g_{10} (2.8)) - (- 10)

Apply minus-plus rules

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

= - lo g_{10} (2.8) + 10

x - 2 lo g_{7} (7 x - 5)

lo g_{10} (\frac{x + 5}{x - 1})

lo g_{a} (x^{2} y^{3})

lo g_{10} (\frac{9 z}{3})

(\frac{1}{4}) (5 lo g_{10} (x) + 3 lo g_{10} (y))

What is simplify-log_{10}(2.8*10^{-10}) ?
The solution to simplify-log_{10}(2.8*10^{-10}) is -log_{10}(2.8)+10