What is ln(0.61022*10^{-5}) ?

The solution to ln(0.61022*10^{-5}) is ln(0.61022)-5ln(10)

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simplify ln(0.61022*10^{-5})

simplify

ln (0.61022 \cdot 1 0^{- 5})

ln (0.61022) - 5 ln (10)

Decimal Notation

- 12.00686 \dots

Solution steps

ln (0.61022 \cdot 1 0^{- 5})

Apply log rule:

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

ln (0.61022 \cdot 1 0^{- 5}) = ln (0.61022) + ln (1 0^{- 5})

= ln (0.61022) + ln (1 0^{- 5})

Apply log rule:

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

ln (1 0^{- 5}) = - 5 ln (10)

= ln (0.61022) - 5 ln (10)

14 + lo g_{10} (2.59831 \cdot 1 0^{- 6})

- ln ∣ 2 ∣ - ln \frac{4}{3}

10 (lo g_{10} (\frac{3}{1000}) - lo g_{10} (7.2 E 13 π))

ln (17) + ln (x)

\frac{ln ( \frac{1}{3} )}{ln ( 6 ) - ln ( 3 )}

What is ln(0.61022*10^{-5}) ?
The solution to ln(0.61022*10^{-5}) is ln(0.61022)-5ln(10)