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Popular >

simplify ln(Ae^{-b})

Solution

simplify

ln (A e^{- b})

Solution

ln (A) - b

Solution steps

ln (A e^{- b})

Apply log rule:

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

ln (A e^{- b}) = ln (A) + ln (e^{- b})

= ln (A) + ln (e^{- b})

Apply log rule:

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

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

= ln (A) - b ln (e)

b ln (e) = b

= ln (A) - b

Popular Examples

simplify-log_{10}(2.93*10^{-3})simplify

- lo g_{10} (2.93 \cdot 1 0^{- 3})

simplify-log_{10}(4*10^{-1})simplify

- lo g_{10} (4 \cdot 1 0^{- 1})

simplify ln(sqrt(2))+2ln(2)simplify

ln (2) + 2 ln (2)

simplify ln(n)+ln(v^3)simplify

ln (n) + ln (v^{3})

simplify (1)ln(18(1))-1 simplify

(1) ln (18 (1)) - 1

Frequently Asked Questions (FAQ)

What is ln(Ae^{-b}) ?
The solution to ln(Ae^{-b}) is ln(A)-b