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Popular >

simplify ln(-e^{-2}*0.2)

Solution

simplify

ln (- e^{- 2} \cdot 0.2)

Solution

- 2 + ln (0.2)

+1

Decimal Notation

- 3.60943 \dots

Solution steps

ln (- e^{- 2} \cdot 0.2)

Apply log rule:

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

ln (- e^{- 2} \cdot 0.2) = ln (e^{- 2}) + ln (0.2)

= ln (e^{- 2}) + ln (0.2)

Apply log rule:

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

ln (e^{- 2}) = - 2 ln (e)

= - 2 ln (e) + ln (0.2)

2 ln (e) = 2

= - 2 + ln (0.2)

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Frequently Asked Questions (FAQ)

What is ln(-e^{-2}*0.2) ?
The solution to ln(-e^{-2}*0.2) is -2+ln(0.2)