Question

Find the value of

$log \sqrt[3]{ (\frac{{3}^{2} {5}^{4} }{ \sqrt{2} } } )$

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Answer 1

hope this will help you further solution

2/3 [0.477]+4/3[0.699] - 1/6 [0.3010]

0.954/2 +2.796/3 - 0.3010/6

0.477 +0.932 - 0.0501

1.409 - 0.0501 = 1.3589 = 1. 36 (nearly)

Answer 2

Solution:-

=> 1/3 (Log 3².5⁴)/2^(1/2)

=> 1/3 [ Log 3² + log 5⁴ - 1/2 log²]

=> 1/3 [ 2 log 3 + 4 log 5 - 1/2 log 2]

=> 2/3 log 3 + 4/3 log5 - 1/6 log².