What is simplify-log_{10}(9.82*10^{-5}) ?

The solution to simplify-log_{10}(9.82*10^{-5}) is -log_{10}(9.82)+5

Popular >

simplify-log_{10}(9.82*10^{-5})

simplify

- lo g_{10} (9.82 \cdot 1 0^{- 5})

- lo g_{10} (9.82) + 5

Decimal Notation

4.00788 \dots

Solution steps

- lo g_{10} (9.82 \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (9.82 \cdot 1 0^{- 5}) = lo g_{10} (9.82) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (9.82) + 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} (9.82) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (9.82) - 5)

Distribute parentheses

= - (lo g_{10} (9.82)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (9.82) + 5

ln (\frac{11}{20})

- lo g_{10} (4.2 \cdot 1 0^{- 11})

lo g_{2} (\frac{( 8 ^{2} 64 ) ^{'}}{( 4 \cdot 2 ) ^{'}})

ln (\frac{y + 4 x}{( y - x ) ^{6}})

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

What is simplify-log_{10}(9.82*10^{-5}) ?
The solution to simplify-log_{10}(9.82*10^{-5}) is -log_{10}(9.82)+5