What is e^{-2}log_{3}(e^{-2}) ?

The solution to e^{-2}log_{3}(e^{-2}) is -2/(e^2)log_{3}(e)

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simplify e^{-2}log_{3}(e^{-2})

simplify

e^{- 2} lo g_{3} (e^{- 2})

- \frac{2}{e ^{2}} lo g_{3} (e)

Decimal Notation

- 0.24637 \dots

Solution steps

e^{- 2} lo g_{3} (e^{- 2})

Apply exponent rule:

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

= \frac{1}{e ^{2}} lo g_{3} (e^{- 2})

Simplify

lo g_{3} (e^{- 2}) : - 2 lo g_{3} (e)

= \frac{1}{e ^{2}} (- 2 lo g_{3} (e))

Remove parentheses:

(- a) = - a

= - \frac{1}{e ^{2}} \cdot 2 lo g_{3} (e)

Multiply fractions:

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

= - \frac{1 \cdot 2}{e ^{2}} lo g_{3} (e)

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2}{e ^{2}} lo g_{3} (e)

e^{- \frac{5}{22705920}}

9.8 \cdot 0.94 \cdot 1 0^{- 3}

9.17 \cdot 1 0^{- 4}

9.17 \cdot 1 0^{- 3}

(1.38 \cdot 1 0^{- 38}) ln (28)

What is e^{-2}log_{3}(e^{-2}) ?
The solution to e^{-2}log_{3}(e^{-2}) is -2/(e^2)log_{3}(e)