Question Details

log 0.008 5 + log 3 81 7 = ?

Options

A

1/3

B

2/3

C

5/6

D

7/6

Show Answer

Correct Answer :

Option C

5/6

Solution :

The correct option is C.

We want to evaluate the expression:
E=log0.0085+log3817

First, simplify the terms:
1) Since 0.008=81000=1125=53 and 5=512:
log0.0085=log53512=123=16

2) Since 81=34 and 3=312:
log381=log31234=412=8

Substitute these values back into the expression:
E=16+87=116=56

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