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Popular >

simplify ln(2.4e^{-7})

Solution

simplify

ln (2.4 e^{- 7})

Solution

ln (2.4) - 7

+1

Decimal Notation

- 6.12453 \dots

Solution steps

ln (2.4 e^{- 7})

Apply log rule:

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

ln (2.4 e^{- 7}) = ln (2.4) + ln (e^{- 7})

= ln (2.4) + ln (e^{- 7})

Apply log rule:

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

ln (e^{- 7}) = - 7 ln (e)

= ln (2.4) - 7 ln (e)

7 ln (e) = 7

= ln (2.4) - 7

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Frequently Asked Questions (FAQ)

What is ln(2.4e^{-7}) ?
The solution to ln(2.4e^{-7}) is ln(2.4)-7