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Popular >

simplify ln(60e^{-8.064})

Solution

simplify

ln (60 e^{- 8.064})

Solution

ln (60) - 8.064

+1

Decimal Notation

- 3.96965 \dots

Solution steps

ln (60 e^{- 8.064})

Apply log rule:

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

ln (60 e^{- 8.064}) = ln (60) + ln (e^{- 8.064})

= ln (60) + ln (e^{- 8.064})

Apply log rule:

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

ln (e^{- 8.064}) = - 8.064 ln (e)

= ln (60) - 8.064 ln (e)

8.064 ln (e) = 8.064

= ln (60) - 8.064

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Frequently Asked Questions (FAQ)

What is ln(60e^{-8.064}) ?
The solution to ln(60e^{-8.064}) is ln(60)-8.064