What is ln((6.35*10^{-3})/(0.00555)) ?

The solution to ln((6.35*10^{-3})/(0.00555)) is ln(6.35)-3ln(10)-ln(0.00555)

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simplify ln((6.35*10^{-3})/(0.00555))

simplify

ln (\frac{6.35 \cdot 1 0 ^{- 3}}{0.00555})

ln (6.35) - 3 ln (10) - ln (0.00555)

Decimal Notation

0.13465 \dots

Solution steps

ln (\frac{6.35 \cdot 1 0 ^{- 3}}{0.00555})

Apply log rule:

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

ln (\frac{6.35 \cdot 1 0 ^{- 3}}{0.00555}) = ln (6.35 \cdot 1 0^{- 3}) - ln (0.00555)

= ln (1 0^{- 3} \cdot 6.35) - ln (0.00555)

Apply log rule:

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

ln (6.35 \cdot 1 0^{- 3}) = ln (6.35) + ln (1 0^{- 3})

= ln (6.35) + ln (1 0^{- 3}) - ln (0.00555)

Apply log rule:

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

ln (1 0^{- 3}) = - 3 ln (10)

= ln (6.35) - 3 ln (10) - ln (0.00555)

ln (\frac{e ^{4}}{19})

ln (3 x e)

- \frac{1}{2} ln ∣ (9) + 1 ∣ + \frac{1}{2} ln ∣ (9) - 1 ∣

ln (\frac{25}{60})

lo g_{0.9} (4 x)

What is ln((6.35*10^{-3})/(0.00555)) ?
The solution to ln((6.35*10^{-3})/(0.00555)) is ln(6.35)-3ln(10)-ln(0.00555)