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Popular >

simplify ln(1/(1/n))

Solution

simplify

ln (\frac{1}{\frac{1}{n}})

Solution

ln (n)

Solution steps

ln (\frac{1}{\frac{1}{n}})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{\frac{1}{n}}) = ln (1) - ln (\frac{1}{n})

= ln (1) - ln (\frac{1}{n})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{1}{n}) = ln (1) - ln (n)

= ln (1) - (ln (1) - ln (n))

ln (1) = 0

- (ln (1) - ln (n)) = ln (n)

= 0 + ln (n)

0 + ln (n) = ln (n)

= ln (n)

Popular Examples

simplify ln(388/363)simplify

ln (\frac{388}{363})

simplify 100+20*ln((65)/(65-21))simplify

100 + 20 \cdot ln (\frac{65}{65 - 21})

simplify 1/3 ln(2/3)simplify

\frac{1}{3} ln (\frac{2}{3})

simplify-log_{10}(3.34272*10^{-3})simplify

- lo g_{10} (3.34272 \cdot 1 0^{- 3})

simplify (60)/(sqrt(2.5))ln((0.116)/(0.039))simplify

\frac{60}{2.5} ln (\frac{0.116}{0.039})

Frequently Asked Questions (FAQ)

What is ln(1/(1/n)) ?
The solution to ln(1/(1/n)) is ln(n)