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Popular >

simplify ln(8e^{-300t})

Solution

simplify

ln (8 e^{- 300 t})

Solution

3 ln (2) - 300 t

Solution steps

ln (8 e^{- 300 t})

Apply log rule:

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

ln (8 e^{- 300 t}) = ln (8) + ln (e^{- 300 t})

= ln (8) + 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 (8) - 300 t ln (e)

300 t ln (e) = 300 t

= ln (8) - 300 t

ln (8) = 3 ln (2)

= 3 ln (2) - 300 t

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Frequently Asked Questions (FAQ)

What is ln(8e^{-300t}) ?
The solution to ln(8e^{-300t}) is 3ln(2)-300t