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lawyer [7]
4 years ago
8

Loga2=0.3812, loga3=0.6013, and loga5=0.9004

Mathematics
1 answer:
Bogdan [553]4 years ago
3 0
<span>loga (2) = 0.3812
</span><span>loga (3) = 0.6013
</span><span>loga (5) = 0.9004
</span><span>and we should know that loga a = 1
</span>
∴ loga (30a)³ = 3 loga (30a)   = 3 loga (2 * 3 * 5 * a)                                                     = 3 ( loga 2 + loga 3 + loga 5 + loga a )   = 3 ( <span>0.3812 + 0.6013 + 0.9004 + 1 )
</span>                     = 3 * 2.8829    = 8.6487
The correct answer is option  <span>C. 8.6487</span>              


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