What is simplify-log_{10}(2.645*10^{-6}) ?

The solution to simplify-log_{10}(2.645*10^{-6}) is -log_{10}(2.645)+6

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simplify-log_{10}(2.645*10^{-6})

simplify

- lo g_{10} (2.645 \cdot 1 0^{- 6})

- lo g_{10} (2.645) + 6

Decimal Notation

5.57757 \dots

Solution steps

- lo g_{10} (2.645 \cdot 1 0^{- 6})

Apply log rule:

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

lo g_{10} (2.645 \cdot 1 0^{- 6}) = lo g_{10} (2.645) + lo g_{10} (1 0^{- 6})

= - (lo g_{10} (2.645) + 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} (2.645) - 6 lo g_{10} (10))

6 lo g_{10} (10) = 6

= - (lo g_{10} (2.645) - 6)

Distribute parentheses

= - (lo g_{10} (2.645)) - (- 6)

Apply minus-plus rules

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

= - lo g_{10} (2.645) + 6

ln (\frac{( \frac{1000000}{233687} )}{0.1})

- 2 ln ∣ x ∣ + ln ∣ x + 1 ∣ + ln ∣ x - 1 ∣

22 (- \frac{1}{4} ln ∣ z + 2 ∣ + \frac{1}{4} ln ∣ z - 2 ∣)

- lo g_{10} (2.35 \cdot 1 0^{- 3})

\frac{19}{13} + \frac{4}{5} ln (\frac{5}{4}) + \frac{3}{8} ln (2)

What is simplify-log_{10}(2.645*10^{-6}) ?
The solution to simplify-log_{10}(2.645*10^{-6}) is -log_{10}(2.645)+6