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Popular >

simplify ln(1.2e^{-3})

Solution

simplify

ln (1.2 e^{- 3})

Solution

ln (1.2) - 3

+1

Decimal Notation

- 2.81767 \dots

Solution steps

ln (1.2 e^{- 3})

Apply log rule:

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

ln (1.2 e^{- 3}) = ln (1.2) + ln (e^{- 3})

= ln (1.2) + ln (e^{- 3})

Apply log rule:

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

ln (e^{- 3}) = - 3 ln (e)

= ln (1.2) - 3 ln (e)

3 ln (e) = 3

= ln (1.2) - 3

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Frequently Asked Questions (FAQ)

What is ln(1.2e^{-3}) ?
The solution to ln(1.2e^{-3}) is ln(1.2)-3