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}}

Use \frac{- a}{b} = \frac{a}{- b} = - \frac{a}{b} to rewrite the fraction

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

Multiply by the reciprocal

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

Multiplying or dividing an even number of negative terms equals a positive

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 )}

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