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Popular >

simplify ln(sin(2x)e^{-pix})

Solution

simplify

ln (sin (2 x) e^{- π x})

Solution

ln (sin (2 x)) - π x

Solution steps

ln (sin (2 x) e^{- π x})

Apply log rule:

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

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

= ln (sin (2 x)) + ln (e^{- π x})

Apply log rule:

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

ln (e^{- π x}) = - π x ln (e)

= ln (sin (2 x)) - π x ln (e)

π x ln (e) = π x

= ln (sin (2 x)) - π x

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Frequently Asked Questions (FAQ)

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