What is simplify-log_{10}(6.38*10^{-6}) ?

The solution to simplify-log_{10}(6.38*10^{-6}) is -log_{10}(6.38)+6

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simplify-log_{10}(6.38*10^{-6})

simplify

- lo g_{10} (6.38 \cdot 1 0^{- 6})

- lo g_{10} (6.38) + 6

Decimal Notation

5.19517 \dots

Solution steps

- lo g_{10} (6.38 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (6.38 \cdot 1 0^{- 6}) = lo g_{10} (6.38) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (6.38) + lo g_{10} (1 0^{- 6}))

Apply log rule:

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

lo g_{10} (1 0^{- 6}) = - 6 lo g_{10} (10)

= - (lo g_{10} (6.38) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (6.38) - 6)

Distribute parentheses

= - (lo g_{10} (6.38)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (6.38) + 6

\frac{1}{6} [5 ln (x + 9) - ln (x) - ln (x^{2} - 4)]

\frac{1}{3} (ln (5) - ln (7))

3.74 + lo g_{10} (\frac{40 + 5 x}{60 - 5 x})

ln (\frac{( 1 - 1.5 )}{0.075}) - 1

3 ln ∣ x ∣ - 4 ln ∣ x + 1 ∣

What is simplify-log_{10}(6.38*10^{-6}) ?
The solution to simplify-log_{10}(6.38*10^{-6}) is -log_{10}(6.38)+6