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Loga2=0.3812, loga3=0.6013, and loga5=0.9004 The value of loga(30a)^3 is A. 3.169 B. 5.6487 C. 8.6487 D. 9.1435 PLEASE HELP AND EXPLAIN!!!

Loga2=0.3812, loga3=0.6013, and loga5=0.9004 The value of loga(30a)^3 is A. 3.169 B. 5.6487 C. 8.6487 D. 9.1435 PLEASE HELP AND EXPLAIN!!!
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Loga2=0.3812, loga3=0.6013, and loga5=0.9004

The value of loga(30a)^3 is
A. 3.169
B. 5.6487
C. 8.6487
D. 9.1435
 PLEASE HELP AND EXPLAIN!!!

User Soldeplata Saketos
by
7.2k points

1 Answer

5 votes
loga (2) = 0.3812
loga (3) = 0.6013
loga (5) = 0.9004
and we should know that loga a = 1

∴ loga (30a)³ = 3 loga (30a) = 3 loga (2 * 3 * 5 * a) = 3 ( loga 2 + loga 3 + loga 5 + loga a ) = 3 ( 0.3812 + 0.6013 + 0.9004 + 1 )
 = 3 * 2.8829 = 8.6487
The correct answer is option C. 8.6487


User Wlyles
by
8.4k points
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