What is 1/2 (ln(6)-ln(4)) ?

The solution to 1/2 (ln(6)-ln(4)) is 1/2 ln(3/2)

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simplify 1/2 (ln(6)-ln(4))

simplify

\frac{1}{2} (ln (6) - ln (4))

\frac{1}{2} ln (\frac{3}{2})

Solution steps

\frac{1}{2} (ln (6) - ln (4))

Apply log rule:

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

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

= \frac{1}{2} ln (\frac{6}{4})

Cancel the common factor:

2

= \frac{1}{2} ln (\frac{3}{2})

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