Solve (ln(1 / 100) / ln(1 / 2)) / 30

Evaluate

\frac{\frac{l n ( \frac{1}{100} )}{l n ( \frac{1}{2} )}}{30}

Simplify

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\frac{\frac{- 2 l n ( 10 )}{l n ( \frac{1}{2} )}}{30}

Simplify

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\frac{\frac{- 2 l n ( 10 )}{- l n ( 2 )}}{30}

Divide the terms

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\frac{2 lo g _{2} ( 10 )}{30}

Cancel out the common factor 2

\frac{lo g _{2} ( 10 )}{15}

Solution

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\frac{1 + lo g _{2} ( 5 )}{15}

Alternative Form

\approx 0.221462

Calculate the value