Question

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!!!

Answer 1

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              

Answer 2

Answer:

8.6487

Explanation:

I got it correct in the test