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Popular >

expand e^{t(ln(t)-s)}

Solution

expand

e^{t (l n (t) - s)}

Solution

e^{- t s} t^{t}

Solution steps

e^{t (l n (t) - s)}

Expand

t (ln (t) - s) : t ln (t) - t s

= e^{t l n (t) - t s}

Apply exponent rule:

a^{b + c} = a^{b} a^{c}

= e^{t l n (t)} e^{- t s}

Simplify

e^{t l n (t)} : t^{t}

= t^{t} e^{- t s}

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Frequently Asked Questions (FAQ)

What is expand e^{t(ln(t)-s)} ?
The solution to expand e^{t(ln(t)-s)} is e^{-ts}t^t