10. 1/log3 60+1/log4 60+ 1/log5 60 is equal to:
a. 0
b. 1
c. 5
d. 60
Answer: B
Explanation:
Log60 3 + log60 4 + log60 5 = log60 (3 x 4 x 5) = log60 60 = 1 is the given equation.
11.The number of digits in 264 is: 11. If log 2 = 0.30103, the number of digits in 264 is:
a. 18
b. 19
c. 20
d. 21
Answer: C
Explanation:
(64 x 0.30103) = 19.26592 log (264) = 64 x log 2 = 64 x 0.30103) = 19.26592 log (264) = 64 x log 2 = 64 x 0.30103) =It has a 19th attribute.As a result, the total number of digits in 264 is 20.
12. If logx 9/16 = – 1/2, then x equals:
a. -3/4
b. 3/4
c. 81/256
d. 256/81
Answer: D
Explanation:
9/16 logx = – 1/2 .x-1/2 = 9/16,1 = 9 root x = 16 x = 16/9 x = 16/9 x = 16/9 x = 16/9 x =square x = 16/9,x = 256/81 x = 256/81 x = 256/81.
13.If axe equals by, then:A
a. log a/b =x/y
b. log a/log b=x/y
c. log a/log b=y/x
d. None of these
Answer: C
Explanation:
by = ax,log ax = log by,x log a = y log b = x log a + y log b = x log a,y/x = log a/log b.
14. If logx y = 100 and log2 x = 10, the value of y is as follows:
a. 210
b. 2100
c. 21000
d. 210000
Answer: C
Explanation:
210 log 2 x = 10 log 2 x = 10 log 2 x = 10 log 2 x = 10 log 2 x =100 logx y ,x100 = y,(210)100; y = (210)100; y = (210)100; [insert x’s value]=21000 is the value of y.
15. The value of log2 16 is as follows:
a. 1/8
b. 4
c. 8
d. 16
Answer: B
Explanation:
Let’s say log2 16 equals n.Then 2n = 16 = 24 n = 4 is the result.16 log2 = 4.
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