What is simplify-log_{10}(2.3*10^{-7}) ?

The solution to simplify-log_{10}(2.3*10^{-7}) is -log_{10}(2.3)+7

Popular >

simplify-log_{10}(2.3*10^{-7})

simplify

- lo g_{10} (2.3 \cdot 1 0^{- 7})

- lo g_{10} (2.3) + 7

Decimal Notation

6.63827 \dots

Solution steps

- lo g_{10} (2.3 \cdot 1 0^{- 7})

Apply log rule:

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

lo g_{10} (2.3 \cdot 1 0^{- 7}) = lo g_{10} (2.3) + lo g_{10} (1 0^{- 7})

= - (lo g_{10} (2.3) + lo g_{10} (1 0^{- 7}))

Apply log rule:

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

lo g_{10} (1 0^{- 7}) = - 7 lo g_{10} (10)

= - (lo g_{10} (2.3) - 7 lo g_{10} (10))

7 lo g_{10} (10) = 7

= - (lo g_{10} (2.3) - 7)

Distribute parentheses

= - (lo g_{10} (2.3)) - (- 7)

Apply minus-plus rules

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

= - lo g_{10} (2.3) + 7

ln (\frac{x ^{8} x ^{2} + 2}{( x + 2 ) ^{9}})

- lo g_{10} (8.4 \cdot 1 0^{- 11})

ln \frac{x + 5}{2} + 1 - ln \frac{x + 5}{2} - 1

ln (\frac{8}{6})

ln (\frac{e ^{x^{2} c o s (x)}}{2 x + 4})

What is simplify-log_{10}(2.3*10^{-7}) ?
The solution to simplify-log_{10}(2.3*10^{-7}) is -log_{10}(2.3)+7