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Popular >

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

Solution

simplify

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

Solution

ln (2) - 4 x^{2}

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

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

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

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

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

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Frequently Asked Questions (FAQ)

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