What is (ln(10)-ln(3))/((16-6)) ?

The solution to (ln(10)-ln(3))/((16-6)) is (ln(10/3))/(10)

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simplify (ln(10)-ln(3))/((16-6))

simplify

\frac{ln ( 10 ) - ln ( 3 )}{( 16 - 6 )}

\frac{ln ( \frac{10}{3} )}{10}

Decimal Notation

0.12039 \dots

Solution steps

\frac{ln ( 10 ) - ln ( 3 )}{( 16 - 6 )}

Apply log rule:

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

ln (10) - ln (3) = ln (\frac{10}{3})

= \frac{ln ( \frac{10}{3} )}{16 - 6}

Subtract the numbers:

16 - 6 = 10

= \frac{ln ( \frac{10}{3} )}{10}

ln (- \frac{1}{x ^{2}} e^{x})

2 (ln (5 e) - ln (3))

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\frac{7}{2} lo g_{15} (3)

What is (ln(10)-ln(3))/((16-6)) ?
The solution to (ln(10)-ln(3))/((16-6)) is (ln(10/3))/(10)