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Popular >

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

Solution

simplify

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

Solution

- 2 x + ln (2) + ln (u)

Solution steps

ln (e^{- 2 x} \cdot 2 u)

Apply log rule:

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

ln (e^{- 2 x} \cdot 2 u) = ln (e^{- 2 x}) + ln (2) + ln (u)

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

Apply log rule:

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

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

= - 2 x ln (e) + ln (2) + ln (u)

2 x ln (e) = 2 x

= - 2 x + ln (2) + ln (u)

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Frequently Asked Questions (FAQ)

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