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Popular >

simplify ln(-3e^{-4t})

Solution

simplify

ln (- 3 e^{- 4 t})

Solution

ln (3) - 4 t

Solution steps

ln (- 3 e^{- 4 t})

Apply log rule:

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

ln (- 3 e^{- 4 t}) = ln (3) + ln (e^{- 4 t})

= ln (3) + ln (e^{- 4 t})

Apply log rule:

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

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

= ln (3) - 4 t ln (e)

4 t ln (e) = 4 t

= ln (3) - 4 t

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Frequently Asked Questions (FAQ)

What is ln(-3e^{-4t}) ?
The solution to ln(-3e^{-4t}) is ln(3)-4t