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Popular >

simplify ln(1/(1/k))

Solution

simplify

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

Solution

ln (k)

Solution steps

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

Apply log rule:

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

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

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

Apply log rule:

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

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

= ln (1) - (ln (1) - ln (k))

ln (1) = 0

- (ln (1) - ln (k)) = ln (k)

= 0 + ln (k)

0 + ln (k) = ln (k)

= ln (k)

Popular Examples

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(100000 \cdot 0.1) \cdot ln (\frac{0.25}{0.1})

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Frequently Asked Questions (FAQ)

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