Logarithm MCQ Questions and answers-

1. Which of the following statements is not correct?
Veiw Answer
Answer: log (2 + 3) = log (2 x 3)
Explanation:
(a) Since loga a = 1, so log10 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3

      log (2 + 3)  log (2 x 3)

(c) Since loga 1 = 0, so log10 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.



2. If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:
Veiw Answer
Answer: 3.876
Explanation:
log5 512	
=	log 512
log 5
=	log 29
log (10/2)
=	9 log 2
log 10 - log 2
=	(9 x 0.3010)
1 - 0.3010
=	2.709
0.699
=	2709
699
= 3.876

3. If log 27 = 1.431, then the value of log 9 is:
Veiw Answer
Answer: 0.954
Explanation:
log 27 = 1.431

 log (33 ) = 1.431

 3 log 3 = 1.431

 log 3 = 0.477

 log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.

4. The value of log2(log5625) is
Veiw Answer
Answer:32