What is 9^{-x}x^{-2x}(-2ln(3x)-2) ?

The solution to 9^{-x}x^{-2x}(-2ln(3x)-2) is (-2ln(3x)-2)/(9^xx^{2x)}

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simplify 9^{-x}x^{-2x}(-2ln(3x)-2)

simplify

9^{- x} x^{- 2 x} (- 2 ln (3 x) - 2)

\frac{- 2 ln ( 3 x ) - 2}{9 ^{x} x ^{2 x}}

Solution steps

9^{- x} x^{- 2 x} (- 2 ln (3 x) - 2)

Apply exponent rule:

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

= \frac{1}{9 ^{x}} x^{- 2 x} (- 2 ln (3 x) - 2)

Apply exponent rule:

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

= \frac{1}{9 ^{x}} \cdot \frac{1}{x ^{2 x}} (- 2 ln (3 x) - 2)

Multiply fractions:

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

= \frac{1 \cdot 1 \cdot ( - 2 ln ( 3 x ) - 2 )}{9 ^{x} x ^{2 x}}

1 \cdot 1 \cdot (- 2 ln (3 x) - 2) = - 2 ln (3 x) - 2

= \frac{- 2 ln ( 3 x ) - 2}{9 ^{x} x ^{2 x}}

(2 x^{5}) (5 y^{5})

(72) 2

- e^{- 0.06598}

- 1.1 \cdot 2^{- 126}

7.4 \cdot 1 0^{- 5}

What is 9^{-x}x^{-2x}(-2ln(3x)-2) ?
The solution to 9^{-x}x^{-2x}(-2ln(3x)-2) is (-2ln(3x)-2)/(9^xx^{2x)}