en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

simplify ln(3i^{-i})

Solution

simplify

ln (3 i^{- i})

Solution

ln (3) - i ln (i)

Solution steps

ln (3 i^{- i})

Apply log rule:

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

ln (3 i^{- i}) = ln (3) + ln (i^{- i})

= ln (3) + ln (i^{- i})

Apply log rule:

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

ln (i^{- i}) = - i ln (i)

= ln (3) - i ln (i)

Popular Examples

simplify ln((e^2)/c)simplify

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

simplify 3log_{5}(a)+3log_{5}(b)simplify

3 lo g_{5} (a) + 3 lo g_{5} (b)

simplify-log_{10}(1.14*10^{-4})simplify

- lo g_{10} (1.14 \cdot 1 0^{- 4})

join 1/2 log_{3}(7)join

\frac{1}{2} lo g_{3} (7)

simplify ln(1/(1+e^{-1)})simplify

ln (\frac{1}{1 + e ^{- 1}})

Frequently Asked Questions (FAQ)

What is ln(3i^{-i}) ?
The solution to ln(3i^{-i}) is ln(3)-iln(i)