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Popular >

simplify 2ln(e^t)*e^{-t}

Solution

simplify

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

Solution

\frac{2 t}{e ^{t}}

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= 2 \cdot \frac{1}{e ^{t}} ln (e^{t})

Simplify

ln (e^{t}) : t

= 2 \cdot \frac{1}{e ^{t}} t

Simplify

= \frac{2 t}{e ^{t}}

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Frequently Asked Questions (FAQ)

What is 2ln(e^t)*e^{-t} ?
The solution to 2ln(e^t)*e^{-t} is (2t)/(e^t)