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Popular >

simplify ln(6(1-e^{-5}))

Solution

simplify

ln (6 (1 - e^{- 5}))

Solution

ln (6) + ln (1 - \frac{1}{e ^{5}})

+1

Decimal Notation

1.78499 \dots

Solution steps

ln (6 (1 - e^{- 5}))

Apply log rule:

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

ln (6 (1 - e^{- 5})) = ln (6) + ln (1 - e^{- 5})

= ln (6) + ln (- e^{- 5} + 1)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= ln (6) + ln (- \frac{1}{e ^{5}} + 1)

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Frequently Asked Questions (FAQ)

What is ln(6(1-e^{-5})) ?
The solution to ln(6(1-e^{-5})) is ln(6)+ln(1-1/(e^5))