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Popular >

simplify ln(4e^{-4})

Solution

simplify

ln (4 e^{- 4})

Solution

2 ln (2) - 4

+1

Decimal Notation

- 2.61370 \dots

Solution steps

ln (4 e^{- 4})

Apply log rule:

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

ln (4 e^{- 4}) = ln (4) + ln (e^{- 4})

= ln (4) + ln (e^{- 4})

Apply log rule:

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

ln (e^{- 4}) = - 4 ln (e)

= ln (4) - 4 ln (e)

4 ln (e) = 4

= ln (4) - 4

ln (4) = 2 ln (2)

= 2 ln (2) - 4

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Frequently Asked Questions (FAQ)

What is ln(4e^{-4}) ?
The solution to ln(4e^{-4}) is 2ln(2)-4