What is (ln(12)-ln(42))/(96-48) ?

The solution to (ln(12)-ln(42))/(96-48) is (ln(2/7))/(48)

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simplify (ln(12)-ln(42))/(96-48)

simplify

\frac{ln ( 12 ) - ln ( 42 )}{96 - 48}

\frac{ln ( \frac{2}{7} )}{48}

Decimal Notation

- 0.02609 \dots

Solution steps

\frac{ln ( 12 ) - ln ( 42 )}{96 - 48}

Apply log rule:

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

ln (12) - ln (42) = ln (\frac{12}{42})

= \frac{ln ( \frac{12}{42} )}{96 - 48}

Cancel the common factor:

6

= \frac{ln ( \frac{2}{7} )}{96 - 48}

Subtract the numbers:

96 - 48 = 48

= \frac{ln ( \frac{2}{7} )}{48}

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What is (ln(12)-ln(42))/(96-48) ?
The solution to (ln(12)-ln(42))/(96-48) is (ln(2/7))/(48)