MCQGeeks
0 : 0 : 1
CBSE
JEE
NTSE
NEET
English
UK Quiz
Quiz
Driving Test
Practice
Games
Quiz
Arithmetic Ability
Logarithm
Quiz 2
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Q.1
If $${\log _{10}}7 = a,$$ then $${\log _{10}}\left( {\frac{1}{{70}}} \right)$$ is equal to
- (1 + a)
(1 + a)
-1
$$\frac{a}{10}$$
$$\frac{1}{10a}$$
Q.2
If log
10
2 = 0.3010, then log
2
10 is equal to:
$$\frac{{699}}{{301}}$$
$$\frac{{1000}}{{301}}$$
0.3010
0.6990
Q.3
If log
10
2 = 0.3010, the value of log
10
80 is:
1.6020
1.9030
3.9030
None of these
Q.4
The value of $${\log _5}\frac{{\left( {125} \right)\left( {625} \right)}}{{25}}$$ is equal to -
725
5
3125
6
Q.5
Determine the value of $${\text{lo}}{{\text{g}}_{3\sqrt 2 }}\left( {\frac{1}{{18}}} \right)$$ is = ?
2
-2
$$\sqrt 2 $$
$$\sqrt 3 $$
Q.6
The value of $${\text{lo}}{{\text{g}}_{10}}\left( {0.0001} \right)$$ is = ?
$$\frac{1}{4}$$
$$ - \frac{1}{4}$$
$$ - 4$$
$$4$$
Q.7
If log 2 = 0.30103, the number of digits in 2
64
is:
18
19
20
21
Q.8
If $${\log _x}\left( {\frac{9}{{16}}} \right) = - \frac{1}{2},$$ then x is equal to:
$$ - \frac{3}{4}$$
$$\frac{3}{4}$$
$$\frac{{81}}{{256}}$$
$$\frac{{256}}{{81}}$$
Q.9
$${\frac{1}{{\left( {{{\log }_a}bc} \right) + 1}} + }$$ $${\frac{1}{{\left( {{{\log }_b}ca} \right) + 1}} + }$$ $${\frac{1}{{\left( {{{\log }_c}ab} \right) + 1}}}$$ is equal to -
1
$$\frac{3}{2}$$
2
3
Q.10
If $${\log _{10}}2 = a$$ and $${\log _{10}}3 = b,$$ then $${\log _5}12$$ = ?
$$\frac{{a + b}}{{1 + a}}$$
$$\frac{{2a + b}}{{1 + a}}$$
$$\frac{{a + 2b}}{{1 + a}}$$
$$\frac{{2a + b}}{{1 - a}}$$
Q.11
If $${\log _{10}}125 + {\log _{10}}8 = x,$$ then x is equal to -
$$\frac{1}{3}$$
0.064
-3
3
Q.12
If $${\log _5}\left( {{x^2} + x} \right) - $$ $${\log _5}\left( {x + 1} \right)$$ = 2, then the value of x is -
5
10
25
32
Q.13
If $${\log _{10}}5 + {\log _{10}}\left( {5x + 1} \right)$$ = $${\log _{10}}$$ $$\left( {x + 5} \right)$$ $$\, + $$ $$1,$$ then x is equal to :
1
3
5
10
Q.14
The value of $${\frac{1}{{{{\log }_3}60}} + }$$ $${\frac{1}{{{{\log }_4}60}} + }$$ $${\frac{1}{{{{\log }_5}60}}}$$ is :
0
1
5
60
Q.15
The value of $$\frac{{6{\text{ }}{{\log }_{10}}1000}}{{3{\text{ }}{{\log }_{10}}100}}$$ is equal to -
0
1
2
3
Q.16
If $${\log _2}\left[ {{{\log }_3}\left( {{{\log }_2}x} \right)} \right] = 1,$$ then x is equal to = ?
0
12
128
512
Q.17
What is the value of the following expression?
$$\log \left( {\frac{9}{{14}}} \right) - $$ $$\log \left( {\frac{{15}}{{16}}} \right) + $$ $$\log \left( {\frac{{35}}{{24}}} \right)$$
0
1
2
3
Q.18
What is the value of $${\left[ {{\text{lo}}{{\text{g}}_{10}}\left( {{\text{5lo}}{{\text{g}}_{10}}100} \right)\,} \right]^2}$$ = ?
1
2
10
25
Q.19
If $${\text{lo}}{{\text{g}}_8}{\text{p}} = 25$$ and $${\text{lo}}{{\text{g}}_2}{\text{q}} = 5,$$ then -
p = q
15
p
2
= q
3
p = q
5
p
3
= q
Q.20
If
a
x
=
b
y
, then:
$$\log \frac{a}{b} = \frac{x}{y}$$
$$\frac{{\log a}}{{\log b}} = \frac{x}{y}$$
$$\frac{{\log a}}{{\log b}} = \frac{y}{x}$$
None of these
0 h : 0 m : 1 s
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
Report Question
×
What's an issue?
Question is wrong
Answer is wrong
Other Reason
Want to elaborate a bit more? (optional)
Support mcqgeeks.com by disabling your adblocker.
×
Please disable the adBlock and continue.
Thank you.
Reload page