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Popular >

simplify ln(-a*e^{-t})

Solution

simplify

ln (- a \cdot e^{- t})

Solution

ln (a) - t

Solution steps

ln (- a e^{- t})

Apply log rule:

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

ln (- a e^{- t}) = ln (a) + ln (e^{- t})

= ln (a) + ln (e^{- t})

Apply log rule:

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

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

= ln (a) - t ln (e)

t ln (e) = t

= ln (a) - t

Popular Examples

simplify ln(en)simplify

ln (e n)

simplify 10log_{10}((5*10^{-6})/(10^{-12)})simplify

10 lo g_{10} (\frac{5 \cdot 1 0 ^{- 6}}{1 0 ^{- 12}})

factor log_{12}(1/4)factor

lo g_{12} (\frac{1}{4})

simplify 7.53+log_{10}((0.006)/(0.004))simplify

7.53 + lo g_{10} (\frac{0.006}{0.004})

simplify ln(323/273)simplify

ln (\frac{323}{273})

Frequently Asked Questions (FAQ)

What is ln(-a*e^{-t}) ?
The solution to ln(-a*e^{-t}) is ln(a)-t