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Popular >

simplify ln(-2400e^{-300t})

Solution

simplify

ln (- 2400 e^{- 300 t})

Solution

ln (2400) - 300 t

Solution steps

ln (- 2400 e^{- 300 t})

Apply log rule:

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

ln (- 2400 e^{- 300 t}) = ln (2400) + ln (e^{- 300 t})

= ln (2400) + ln (e^{- 300 t})

Apply log rule:

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

ln (e^{- 300 t}) = - 300 t ln (e)

= ln (2400) - 300 t ln (e)

300 t ln (e) = 300 t

= ln (2400) - 300 t

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Frequently Asked Questions (FAQ)

What is ln(-2400e^{-300t}) ?
The solution to ln(-2400e^{-300t}) is ln(2400)-300t