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2014-08-10T04:52:27+05:30
2014-08-10T11:52:32+05:30

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2log \frac{5}{3} - 5log \frac{2}{3} (the initial gets to become the power in logarithms)

 log(\frac{5}{3}) ^{2} - log  (\frac{2}{3}) ^{5}
In Logarithms, minus between two terms is divided,

log \frac{ (\frac{5}{3})^{2}  }{ (\frac{2}{3})^{5}  }

log [ (\frac{5}{3}) ^{2}  *  (\frac{3}{2} ) ^{5}]

log  \frac{5^{2}* 3 ^{5}  }{3^{2} * 2 ^{5}  }

log  \frac{ 5^{2} * 3 ^{3} }{2 ^{5} }

log  \frac{25*27}{32}

log  \frac{675}{32}

log 675 - log 32

2.829 - 1.505

1.324


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