What is ((ln(108)-ln(16)))/6 ?

The solution to ((ln(108)-ln(16)))/6 is (ln(27/4))/6

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simplify ((ln(108)-ln(16)))/6

simplify

\frac{( ln ( 108 ) - ln ( 16 ) )}{6}

\frac{ln ( \frac{27}{4} )}{6}

Solution steps

\frac{( ln ( 108 ) - ln ( 16 ) )}{6}

Apply log rule:

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

ln (108) - ln (16) = ln (\frac{108}{16})

= \frac{ln ( \frac{108}{16} )}{6}

Cancel the common factor:

4

= \frac{ln ( \frac{27}{4} )}{6}

5 - ln (2) + ln (\frac{1}{3})

18 ln (\frac{1}{2})

- lo g_{10} (1.3 \cdot 1 0^{- 11})

ln (4 y - 2) - ln (4 y - 4)

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

What is ((ln(108)-ln(16)))/6 ?
The solution to ((ln(108)-ln(16)))/6 is (ln(27/4))/6