What is ln((6.94*10^{-6})/(804.11)) ?

The solution to ln((6.94*10^{-6})/(804.11)) is ln(6.94)-6ln(10)-ln(804.11)

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simplify ln((6.94*10^{-6})/(804.11))

simplify

ln (\frac{6.94 \cdot 1 0 ^{- 6}}{804.11})

ln (6.94) - 6 ln (10) - ln (804.11)

Decimal Notation

- 18.56794 \dots

Solution steps

ln (\frac{6.94 \cdot 1 0 ^{- 6}}{804.11})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{6.94 \cdot 1 0 ^{- 6}}{804.11}) = ln (6.94 \cdot 1 0^{- 6}) - ln (804.11)

= ln (1 0^{- 6} \cdot 6.94) - ln (804.11)

Apply log rule:

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

ln (6.94 \cdot 1 0^{- 6}) = ln (6.94) + ln (1 0^{- 6})

= ln (6.94) + ln (1 0^{- 6}) - ln (804.11)

Apply log rule:

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

ln (1 0^{- 6}) = - 6 ln (10)

= ln (6.94) - 6 ln (10) - ln (804.11)

- 2 ln (2) + 2 ln (3)

lo g_{10} (C \cdot x^{a} \cdot y^{b})

lo g_{2} (\frac{( 6 x y )}{x ^{2}})

- lo g_{10} (1.67 \cdot 1 0^{- 5})

ln ((7 x^{3} + 3)^{c o s (x)})

What is ln((6.94*10^{-6})/(804.11)) ?
The solution to ln((6.94*10^{-6})/(804.11)) is ln(6.94)-6ln(10)-ln(804.11)