What is simplify-2e^{-2y}ln(3+x) ?

The solution to simplify-2e^{-2y}ln(3+x) is -(2ln(x+3))/(e^{2y)}

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simplify-2e^{-2y}ln(3+x)

simplify

- 2 e^{- 2 y} ln (3 + x)

- \frac{2 ln ( x + 3 )}{e ^{2 y}}

Solution steps

- 2 e^{- 2 y} ln (3 + x)

Apply exponent rule:

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

= - 2 \cdot \frac{1}{e ^{2 y}} ln (x + 3)

Multiply fractions:

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

= - \frac{1 \cdot 2 ln ( 3 + x )}{e ^{2 y}}

Multiply the numbers:

1 \cdot 2 = 2

= - \frac{2 ln ( x + 3 )}{e ^{2 y}}

(x + 1) (x + 2)^{2} (x + 3)^{2}

e^{2 x} \cdot e^{3 x}

π \cdot (5 \cdot 1 0^{- 5})

6.6 \cdot 1 0^{- 34}

\frac{4 ^{2}}{2 !} \cdot e^{- 4}

What is simplify-2e^{-2y}ln(3+x) ?
The solution to simplify-2e^{-2y}ln(3+x) is -(2ln(x+3))/(e^{2y)}