What is ln((2*10^{-6})/(760)) ?

The solution to ln((2*10^{-6})/(760)) is ln(2)-6ln(10)-ln(760)

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simplify ln((2*10^{-6})/(760))

simplify

ln (\frac{2 \cdot 1 0 ^{- 6}}{760})

ln (2) - 6 ln (10) - ln (760)

Decimal

- 19.75568 \dots

Solution steps

ln (\frac{2 \cdot 1 0 ^{- 6}}{760})

Apply log rule:

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

ln (\frac{2 \cdot 1 0 ^{- 6}}{760}) = ln (2 \cdot 1 0^{- 6}) - ln (760)

= ln (1 0^{- 6} \cdot 2) - ln (760)

Apply log rule:

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

ln (2 \cdot 1 0^{- 6}) = ln (2) + ln (1 0^{- 6})

= ln (2) + ln (1 0^{- 6}) - ln (760)

Apply log rule:

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

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

= ln (2) - 6 ln (10) - ln (760)

lo g_{7} (22 x yz)

ln (0.74 + 6) - ln (2 (0.74) - 1)

ln (x) + ln (\frac{y}{x} + 1) + \frac{2}{\frac{y}{x} + 1} + 6

ln (x + 7) - 2 ln (x - 3) + ln (7)

x + ln (\frac{x ^{2}}{( x + 1 ) ^{6}})

What is ln((2*10^{-6})/(760)) ?
The solution to ln((2*10^{-6})/(760)) is ln(2)-6ln(10)-ln(760)