What is (17/12)^2ln(17/12) ?

The solution to (17/12)^2ln(17/12) is 289/144 (ln(17)-ln(12))

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simplify (17/12)^2ln(17/12)

simplify

(\frac{17}{12})^{2} ln (\frac{17}{12})

\frac{289}{144} (ln (17) - ln (12))

Decimal Notation

0.69903 \dots

Solution steps

(\frac{17}{12})^{2} ln (\frac{17}{12})

Apply log rule:

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

ln (\frac{17}{12}) = ln (17) - ln (12)

= (\frac{17}{12})^{2} (ln (17) - ln (12))

(\frac{17}{12})^{2} = \frac{1 7 ^{2}}{1 2 ^{2}}

= \frac{1 7 ^{2}}{1 2 ^{2}} (ln (17) - ln (12))

\frac{1 7 ^{2}}{1 2 ^{2}} = \frac{289}{144}

= \frac{289}{144} (ln (17) - ln (12))

lo g_{4} (\frac{e ^{x} + 9}{- 4})

ln (\frac{8192}{625})

12.75 + lo g_{10} (\frac{0.05}{0.15})

lo g_{\frac{1}{2}} (\frac{1}{50})

16 x + ln (16 x)

What is (17/12)^2ln(17/12) ?
The solution to (17/12)^2ln(17/12) is 289/144 (ln(17)-ln(12))