What is (ln(16)-ln(5))/((12-2)) ?

The solution to (ln(16)-ln(5))/((12-2)) is (ln(16/5))/(10)

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simplify (ln(16)-ln(5))/((12-2))

simplify

\frac{ln ( 16 ) - ln ( 5 )}{( 12 - 2 )}

\frac{ln ( \frac{16}{5} )}{10}

Solution steps

\frac{ln ( 16 ) - ln ( 5 )}{( 12 - 2 )}

Apply log rule:

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

ln (16) - ln (5) = ln (\frac{16}{5})

= \frac{ln ( \frac{16}{5} )}{12 - 2}

Subtract the numbers:

12 - 2 = 10

= \frac{ln ( \frac{16}{5} )}{10}

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What is (ln(16)-ln(5))/((12-2)) ?
The solution to (ln(16)-ln(5))/((12-2)) is (ln(16/5))/(10)