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Popular >

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

Solution

simplify

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

Solution

\frac{2 ln ( t )}{e ^{t}}

Solution steps

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

Apply exponent rule:

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

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

Simplify

ln (t^{2}) : 2 ln (t)

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

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

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

Multiply the numbers:

1 \cdot 2 = 2

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

Popular Examples

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(8 \cdot 1 0^{5}) (5 \cdot 1 0^{9})

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250 \cdot 2.5 \cdot 1 0^{- 6}

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y^{0.5} \cdot 0.5 x^{- 0.5}

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simplify 760e^{-0.29}simplify

760 e^{- 0.29}

Frequently Asked Questions (FAQ)

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