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

Evaluate

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

Simplify

More Steps

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

Simplify

More Steps

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

Reduce the fraction

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

Multiply by the reciprocal

- 2 ln (10) \times \frac{30}{ln ( 2 )}

Multiply the numbers

- \frac{2 ln ( 10 ) \times 30}{ln ( 2 )}

Multiply the numbers

- \frac{60 ln ( 10 )}{ln ( 2 )}

Reduce the fraction

\frac{- 60 ln ( 10 )}{ln ( 2 )}

Use the logarithm base change rule

- 60 lo g_{2} (10)

Simplify

More Steps

- 60 (1 + lo g_{2} (5))

Solution

- 60 - 60 lo g_{2} (5)

Alternative Form

\approx - 199.315686

Calculate the value