What is ln((1-10^{-5})600) ?

The solution to ln((1-10^{-5})600) is ln(99999/100000)+ln(600)

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simplify ln((1-10^{-5})600)

simplify

ln ((1 - 1 0^{- 5}) 600)

ln (\frac{99999}{100000}) + ln (600)

Decimal Notation

6.39691 \dots

Solution steps

ln ((1 - 1 0^{- 5}) \cdot 600)

Apply log rule:

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

ln ((1 - 1 0^{- 5}) \cdot 600) = ln (1 - 1 0^{- 5}) + ln (600)

= ln (1 - 1 0^{- 5}) + ln (600)

ln (1 - 1 0^{- 5}) = ln (\frac{99999}{100000})

= ln (\frac{99999}{100000}) + ln (600)

ln (6) + 4 ln (3)

ln (7) + 2 ln (3)

ln (\frac{1}{2} e^{2 y})

- 2 ln (\frac{y}{x})

2 lo g_{a} (x) - lo g_{a} (y)

What is ln((1-10^{-5})600) ?
The solution to ln((1-10^{-5})600) is ln(99999/100000)+ln(600)