Logarithms Free Question Bank

Which of the following statements is not correct?

A log10 10 = 1
B log (2 + 3) = log (2 x 3)
C log10 1 = 0
D log (1 + 2 + 3) = log 1 + log 2 + log 3
E NA

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

A 2.870
B 2.967
C 3.876
D 3.912
E NA

log 8 is equal to: log 8

A
1
8

B
1
4

C
1
2

D
1
8

E NA

If log 27 = 1.431, then the value of log 9 is:

A 0.934
B 0.945
C 0.954
D 0.958
E NA

If log a + log b = log (a + b), then: b a

A a + b = 1
B a - b = 1
C a = b
D a2 - b2 = 1
E NA

If log10 7 = a, then log10 1 is equal to: 70

A - (1 + a)
B (1 + a)-1
C
a
10

D
1
10a

E NA

If log10 2 = 0.3010, then log2 10 is equal to:

A
699
301

B
1000
301

C 0.3010
D 0.6990
E NA

If log10 2 = 0.3010, the value of log10 80 is:

A 1.6020
B 1.9030
C 3.9030
D None of these
E NA

If log10 5 + log10 (5x + 1) = log10 (x + 5) + 1, then x is equal to:

A 1
B 3
C 5
D 10
E NA

The value of 1 + 1 + 1 is: log3 60 log4 60 log5 60

A 0
B 1
C 5
D 60
E NA

If log 2 = 0.30103, the number of digits in 264 is:

A 18
B 19
C 20
D 21
E NA

If logx 9 = - 1 , then x is equal to: 16 2

A
- 3
4

B
3
4

C
81
256

D
256
81

E NA

If ax = by, then:

A
log a = x
b yB
log a = x
log b y

C
log a = y
log b x

D None of these
E NA

If logx y = 100 and log2 x = 10, then the value of y is:

A 210
B 2100
C 21000
D 210000
E NA

The value of log2 16 is:

A
1
8

B 4
C 8
D 16
E NA
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