What is (ln(3)-ln(7))/(2ln(7)) ?

The solution to (ln(3)-ln(7))/(2ln(7)) is (ln(3/7))/(2ln(7))

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simplify (ln(3)-ln(7))/(2ln(7))

simplify

\frac{ln ( 3 ) - ln ( 7 )}{2 ln ( 7 )}

\frac{ln ( \frac{3}{7} )}{2 ln ( 7 )}

Decimal Notation

- 0.21771 \dots

Solution steps

\frac{ln ( 3 ) - ln ( 7 )}{2 ln ( 7 )}

Apply log rule:

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

ln (3) - ln (7) = ln (\frac{3}{7})

= \frac{ln ( \frac{3}{7} )}{2 ln ( 7 )}

\frac{( lo g _{3} ( 106 ) - lo g _{3} ( 5 ) )}{lo g _{3} ( 8 )}

ln (a) + ln (b) + ln (c)

lo g_{3} (4) + lo g_{3} (x) - lo g_{3} (5)

ln (\frac{3 d ^{2}}{4 ^{- 1}})

(\frac{1}{2}) ln (\frac{0.7}{0.3})

What is (ln(3)-ln(7))/(2ln(7)) ?
The solution to (ln(3)-ln(7))/(2ln(7)) is (ln(3/7))/(2ln(7))