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Popular >

simplify ln(-ie^{14})

Solution

simplify

ln (- i e^{14})

Solution

ln (i) + 14

Solution steps

ln (- i e^{14})

Apply log rule:

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

ln (- i e^{14}) = ln (i) + ln (e^{14})

= ln (i) + ln (e^{14})

Apply log rule:

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

ln (e^{14}) = 14 ln (e)

= ln (i) + 14 ln (e)

14 ln (e) = 14

= ln (i) + 14

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Frequently Asked Questions (FAQ)

What is ln(-ie^{14}) ?
The solution to ln(-ie^{14}) is ln(i)+14