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Popular >

simplify ln(4)e^{-x^2}

Solution

simplify

ln (4) e^{- x^{2}}

Solution

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

Solution steps

ln (4) e^{- x^{2}}

Apply exponent rule:

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

= ln (4) \frac{1}{e ^{x^{2}}}

Multiply fractions:

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

= \frac{1 \cdot ln ( 4 )}{e ^{x^{2}}}

Multiply:

1 \cdot ln (4) = ln (4)

= \frac{ln ( 4 )}{e ^{x^{2}}}

Simplify

ln (4) : 2 ln (2)

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

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Frequently Asked Questions (FAQ)

What is ln(4)e^{-x^2} ?
The solution to ln(4)e^{-x^2} is (2ln(2))/(e^{x^2)}