a2zinterviews

11.	If log 2 = 0.30103, Find the number of digits in 256 is
	A.  17
	B.  19
	C.  23
	D.  25

Solution

Log( 256) =(56×0.30103) = 16.85768. Its characteristics is 16. Hence, the number of digits in 256 is 17.

12.	If ( log 5 5) (log 4 9) (log 3 2) is equal to
	A.  1
	B.  3/2
	C.  2
	D.  5

Solution

Given expression =log 9/log 4 ×log 2/log 3 ‹=› log 3²/log 2²×log 2/log 3 = 2 log 3/ 2 log 2×log 2/log3 = 1.

13.	If ax = by
	A.  log a/b = x/y
	B.  log a/ log b = x/y
	C.  log a/ log b = y/x
	D.  Non

Solution

ax = by = log ax= log by ‹=› x log a = y log b ‹=› log a / log b= y/x.

14.	log√ 8 / log 8 is equal to
	A.  1/√8
	B.  1/4
	C.  1/2
	D.  1/8

Solution

log√ 8 / log 8 = log(8)1/2 / log 8 = 1/ 2 log 8 /log 8 = 1/ 2.

15.	If ( log b a) (log c b) (log a c) is equal to
	A.  0
	B.   1
	C.  abc
	D.  a+b+c

Solution

Given expression =(log a/log b×log b/log c ×log c/log a) = 1.