What is simplify-log_{10}(2.9*10^{-4}) ?

The solution to simplify-log_{10}(2.9*10^{-4}) is -log_{10}(2.9)+4

Popular >

simplify-log_{10}(2.9*10^{-4})

simplify

- lo g_{10} (2.9 \cdot 1 0^{- 4})

- lo g_{10} (2.9) + 4

Decimal Notation

3.53760 \dots

Solution steps

- lo g_{10} (2.9 \cdot 1 0^{- 4})

Apply log rule:

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

lo g_{10} (2.9 \cdot 1 0^{- 4}) = lo g_{10} (2.9) + lo g_{10} (1 0^{- 4})

= - (lo g_{10} (2.9) + lo g_{10} (1 0^{- 4}))

Apply log rule:

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

lo g_{10} (1 0^{- 4}) = - 4 lo g_{10} (10)

= - (lo g_{10} (2.9) - 4 lo g_{10} (10))

4 lo g_{10} (10) = 4

= - (lo g_{10} (2.9) - 4)

Distribute parentheses

= - (lo g_{10} (2.9)) - (- 4)

Apply minus-plus rules

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

= - lo g_{10} (2.9) + 4

- lo g_{10} (3.81 \cdot 1 0^{- 8})

lo g_{e} (\frac{( 1 - sin ( y ) )}{cos ( 2 y )})

\frac{1}{3} (ln (4) - ln (3))

lo g_{10} (2 \cdot s (1 - y) [y (2 - y)]^{(s - 1)})

- lo g_{10} (8.15 \cdot 1 0^{- 4})

What is simplify-log_{10}(2.9*10^{-4}) ?
The solution to simplify-log_{10}(2.9*10^{-4}) is -log_{10}(2.9)+4