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Popular >

simplify e^{-x}log_{e}(x+3)

Solution

simplify

e^{- x} lo g_{e} (x + 3)

Solution

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

Solution steps

e^{- x} lo g_{e} (x + 3)

Apply exponent rule:

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

= \frac{1}{e ^{x}} lo g_{e} (x + 3)

Simplify

lo g_{e} (x + 3) : ln (x + 3)

= \frac{1}{e ^{x}} ln (x + 3)

Multiply fractions:

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

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

Multiply:

1 \cdot ln (x + 3) = ln (x + 3)

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

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Frequently Asked Questions (FAQ)

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