What is (ln(0.1)-ln(0.02))/(1-0.5) ?

The solution to (ln(0.1)-ln(0.02))/(1-0.5) is (ln(5))/(0.5)

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simplify (ln(0.1)-ln(0.02))/(1-0.5)

simplify

\frac{ln ( 0.1 ) - ln ( 0.02 )}{1 - 0.5}

\frac{ln ( 5 )}{0.5}

Decimal Notation

3.21887 \dots

Solution steps

\frac{ln ( 0.1 ) - ln ( 0.02 )}{1 - 0.5}

Apply log rule:

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

ln (0.1) - ln (0.02) = ln (\frac{0.1}{0.02})

= \frac{ln ( \frac{0.1}{0.02} )}{1 - 0.5}

Divide the numbers:

\frac{0.1}{0.02} = 5

= \frac{ln ( 5 )}{1 - 0.5}

Subtract the numbers:

1 - 0.5 = 0.5

= \frac{ln ( 5 )}{0.5}

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What is (ln(0.1)-ln(0.02))/(1-0.5) ?
The solution to (ln(0.1)-ln(0.02))/(1-0.5) is (ln(5))/(0.5)