Logarithms aptitude test

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Worksheet - Logarithm SRM University

1. Find the logarithm of 144 to the base A) 2

B) 4

:

C) 8

D) None of these

2. What is the characteristic of the logarithm of .1!4" A) #

B) $#

C) %

D)

%$!. A) 1&'

B) '&('1)

C) '&(1$')

D) '&('$1)

4. A) 1 B) !&2

C) 2

D) #

#. Find ' if A) 

B) 1

C) 2

D) None of these

%. *f A) 

+ then ',- is e/al to : B) 1

C) lmn

D) 2

0. he n/mber of sol/tions of the e/ation A) 

B) 1

C) 2

is:

D) !

8.he greatest ossible 3al/e of n co/ld be if A) 0

B) 8

5.*f

C) 5

D) 1

and A) A

+ gi3en that log !  .4001 and

+ then 6hich one of the follo6ing is correct"

B) AB

C) A7B

D) cant be determined determine d

1. *f log 2 9log! (log2  x)  1+ then  x is e/al to: A.

B.128

C.12

D.#12

11. *f log 2  .!1!+ the n/mber of digits in 2 %4 is: A.18

B.2

C. 15

D.21

12. he 3al/e of (log ! 4) (log 4 #) (log # %) (log% 0) (log 0 8) (log 8 5) is : A.2

B.8

C.0

D.!!

:

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Worksheet - Logarithm SRM University 1!. he 3al/e of log(.1) (1) is: A. 1&!

B. ? 1&! C. C. !&2

D. ? !&2

14. *f log 2  .!1 and log !  .4001+ the 3al/e of log # #12 is : A.2.80

B.!.80%

C.2.5%0

D.!.512

1#. he 3al/e of 1&! log1 12# $ 2log 1 4  log 1 !2 A.

B. B.1

C. 4&#

is:

D.2

1%.*f log# ( x2   x) $ log# ( x  1)  2+ then the 3al/e of  x is: A.#

B.2#

C.1

D.!2

10. *f log 8(1&2) '  (1&!)+ find the 3al/e of ' A.14 A. 14 B.!2 B. !2 C.%4 C. %4 D.124 D. 124

18. Find the 3al/e of ' 6hich satisfies the relation @og 1!log1(4'1)log1('1)1 A.2&0 A.2&0 B.0&2 B.0&2 C.2&# C.2&# D.#&2 D.#&2

15. ;imlif,: 91&log ', (',-)  1&log ,-(',-)  1&log -'(',-) A. 1 A. 1 B.2 B.2 C.! C.! D.4 D.4

2. *f log 2.!1 and log !.4001+find the 3al/e of log 4.# A.1.2##2 A.1.2##2 B..5#42 B..5#42 C.1.%#!2 C.1.%#!2 D..%#!2 D..%#!2

21.*f ( log ba) (logc b)  b) (logac) is e/al to A. A. B.1 B.1 C.abc C.abc D.abc D.abc

22 if a) 2

 b)!

c) %

+ then the 3al/e of '  "

d) 8

2!.

is e/al to a) #

b) 4

c) !

24. *f

a) 1&1 or 1

d) 2



b)

+ then the 3al/e of ' is

2

c) 1 or 1&1

d) 1

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Worksheet - Logarithm SRM University

2#. 6hat is the 3al/e of

a)

b)

c) 1%#0

d) 458