What is simplify-log_{10}(6.21x10^{-5}) ?

The solution to simplify-log_{10}(6.21x10^{-5}) is -log_{10}(6.21)-log_{10}(x)+5

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simplify-log_{10}(6.21x10^{-5})

simplify

- lo g_{10} (6.21 x 1 0^{- 5})

- lo g_{10} (6.21) - lo g_{10} (x) + 5

Solution steps

- lo g_{10} (6.21 x \cdot 1 0^{- 5})

Apply log rule:

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

lo g_{10} (6.21 x \cdot 1 0^{- 5}) = lo g_{10} (6.21) + lo g_{10} (x) + lo g_{10} (1 0^{- 5})

= - (lo g_{10} (x) + lo g_{10} (6.21) + 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} (6.21) + lo g_{10} (x) - 5 lo g_{10} (10))

5 lo g_{10} (10) = 5

= - (lo g_{10} (x) + lo g_{10} (6.21) - 5)

Distribute parentheses

= - (lo g_{10} (6.21)) - (lo g_{10} (x)) - (- 5)

Apply minus-plus rules

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

= - lo g_{10} (6.21) - lo g_{10} (x) + 5

\frac{1925.3}{ln ( 2 )} \cdot ln (\frac{1801}{627})

lo g_{10} (\frac{1}{5.25 \cdot 1 0 ^{- 8}})

2500 - (ln (x^{2} + 6 x + 9) - ln (x + 3))

ln (A e^{- t})

lo g_{e} (3^{\frac{1}{6}}) + lo g_{e} (6^{\frac{1}{3}})

What is simplify-log_{10}(6.21x10^{-5}) ?
The solution to simplify-log_{10}(6.21x10^{-5}) is -log_{10}(6.21)-log_{10}(x)+5