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Recent questions tagged logarithms
+1
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1
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1
ISI2014DCG26
Let $x_1 > x_2>0$. Then which of the following is true? $\log \big(\frac{x_1+x_2}{2}\big) > \frac{\log x_1+ \log x_2}{2}$ $\log \big(\frac{x_1+x_2}{2}\big) < \frac{\log x_1+ \log x_2}{2}$ There exist $x_1$ and $x_2$ such that $x_1 > x_2 >0$ and $\log \big(\frac{x_1+x_2}{2}\big) = \frac{\log x_1+ \log x_2}{2}$ None of these
asked
Sep 23
in
Numerical Ability
by
Arjun
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423k
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24
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isi2014dcg
numericalability
logarithms
0
votes
0
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2
ISI2014DCG45
Which of the following is true? $\log(1+x) < x \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$ $\log(1+x) < x \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$
asked
Sep 23
in
Calculus
by
Arjun
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423k
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15
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isi2014dcg
calculus
functions
logarithms
0
votes
1
answer
3
ISI2014DCG67
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
asked
Sep 23
in
Numerical Ability
by
Arjun
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423k
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9
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isi2014dcg
numericalability
logarithms
+1
vote
2
answers
4
ISI2015DCG1
The sequence $\dfrac{1}{\log_3 2}, \: \dfrac{1}{\log_6 2}, \: \dfrac{1}{\log_{12} 2}, \: \dfrac{1}{\log_{24} 2} \dots $ is in Arithmetic progression (AP) Geometric progression ( GP) Harmonic progression (HP) None of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
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16.7k
points)

66
views
isi2015dcg
numericalability
progression
logarithms
0
votes
2
answers
5
ISI2015DCG23
The value of $\log _2 e – \log _4 e + \log _8 e – \log _{16} e + \log_{32} e – \cdots$ is $1$ $0$ $1$ None of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
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16.7k
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16
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isi2015dcg
numericalability
logarithms
+2
votes
1
answer
6
ISI2016DCG1
The sequence $\dfrac{1}{\log_{3} 2},\dfrac{1}{\log_{6} 2},\dfrac{1}{\log_{12} 2},\dfrac{1}{\log_{24} 2}\cdots$ is in Arithmetic progression (AP) Geometric progression (GP) Harmonic progression (HP) None of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
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16.7k
points)

31
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isi2016dcg
numericalability
logarithms
sequenceseries
0
votes
1
answer
7
ISI2016DCG23
The value of $\log_{2}e\log_{4}e+\log_{8}e\log_{16}e+\log_{32}e\cdots\:\:$ is $1$ $0$ $1$ None of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
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16.7k
points)

11
views
isi2016dcg
numericalability
logarithms
summation
+1
vote
1
answer
8
ISI2016DCG50
The domain of the function $\ln(3x^{2}4x+5)$ is set of positive real numbers set of real numbers set of negative real numbers set of real numbers larger than $5$
asked
Sep 18
in
Calculus
by
gatecse
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16.7k
points)

8
views
isi2016dcg
calculus
functions
domain
logarithms
0
votes
1
answer
9
ISI2017DCG1
The value of $\dfrac{1}{\log_2 n}+ \dfrac{1}{\log_3 n}+\dfrac{1}{\log_4 n}+ \dots + \dfrac{1}{\log_{2017} n}\:\:($ where $n=2017!)$ is $1$ $2$ $2017$ none of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
(
16.7k
points)

12
views
isi2017dcg
numericalability
logarithms
summation
+1
vote
1
answer
10
ISI2017DCG9
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is $2$ $4$ $5$ none of these
asked
Sep 18
in
Numerical Ability
by
gatecse
Boss
(
16.7k
points)

13
views
isi2017dcg
numericalability
logarithms
0
votes
0
answers
11
the number of digits in 2^64
If log 2= 0.030103, the number of digits in 2^64 is : a.18 b.19 c.20 d.21
asked
Feb 24
in
Numerical Ability
by
shaz
(
359
points)

87
views
logarithms
+1
vote
1
answer
12
GATE2018 ME2: GA5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______ $1$ $0$ $1$ $3$
asked
Feb 17, 2018
in
Numerical Ability
by
Arjun
Veteran
(
423k
points)

313
views
gate2018me2
generalaptitude
numericalability
logarithms
0
votes
1
answer
13
GATE2018 ME1: GA6
For integers, $a$, $b$ and $c$, what would be the minimum and maximum values respectively of $a+b+c$ if $\log \mid a \mid + \log \mid b \mid + \log \mid c \mid =0$? $\text{3 and 3}$ $\text{1 and 1}$ $\text{1 and 3}$ $\text{1 and 3}$
asked
Feb 17, 2018
in
Numerical Ability
by
Arjun
Veteran
(
423k
points)

104
views
gate2018me1
generalaptitude
numericalability
logarithms
+1
vote
1
answer
14
GATE2018 CE2: GA5
For nonnegative integers, $a, b, c$, what would be the value of $a+b+c$ if $\log a + \log b + \log c = 0$? 3 1 0 1
asked
Feb 17, 2018
in
Numerical Ability
by
gatecse
Boss
(
16.7k
points)

112
views
gate2018ce2
generalaptitude
numericalability
logarithms
+1
vote
1
answer
15
GATE2018 CE2: GA9
Given that $\frac{\log P}{yz} = \frac{\log Q}{zx} = \frac{\log R}{xy} = 10$ for $x \neq y \neq z$, what is the value of the product $PQR$? 0 1 $xyz$ $10^{xyz}$
asked
Feb 17, 2018
in
Numerical Ability
by
gatecse
Boss
(
16.7k
points)

57
views
gate2018ce2
generalaptitude
numericalability
logarithms
+1
vote
0
answers
16
solve for x
solve for x $3^{log^2_{3} x }$ + $x^{log_{3} x }$ = 162
asked
Feb 3, 2018
in
Mathematical Logic
by
sumit goyal 1
Boss
(
10.5k
points)

79
views
logarithms
0
votes
1
answer
17
Logarithms
Evaluate $\frac{1}{n^{\log_{2}n}}$
asked
Sep 12, 2017
in
Numerical Ability
by
rahul sharma 5
Boss
(
25.2k
points)

105
views
logarithms
+1
vote
3
answers
18
Doubt on logarithms
What is the difference among the following: $\log^²n , \log n^², \log\log n, (\log n)^²$
asked
Apr 2, 2016
in
Numerical Ability
by
$ourav
Active
(
1.8k
points)

258
views
logarithms
+4
votes
2
answers
19
GATE2012 AR: GA6
A value of $x$ that satisfies the equation $\log x + \log (x – 7) = \log (x + 11) + \log 2$ is $1$ $2$ $7$ $11$
asked
Feb 16, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
41.5k
points)

290
views
gate2012ar
numericalability
numericalcomputation
logarithms
+4
votes
1
answer
20
GATE2015 EC3: GA9
$\log \tan 1^o + \log \tan 2^o + \dots + \log \tan 89^o$ is $\ldots$ $1$ $1/\sqrt{2}$ $0$ $−1$
asked
Feb 12, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
41.5k
points)

553
views
gate2015ec3
summation
numericalability
logarithms
+1
vote
2
answers
21
GATE2015 EC1: GA5
If $\log_{x}{(\frac{5}{7})}=\frac{1}{3},$ then the value of $x$ is $343/125$ $25/343$ $25/49$ $49/25$
asked
Feb 12, 2016
in
Numerical Ability
by
Akash Kanase
Boss
(
41.5k
points)

2k
views
gate2015ec1
generalaptitude
numericalmethods
logarithms
+6
votes
1
answer
22
TIFR2010A9
A table contains $287$ entries. When any one of the entries is requested, it is encoded into a binary string and transmitted. The number of bits required is. $8$ $9$ $10$ Cannot be determined from the given information. None of the above.
asked
Oct 3, 2015
in
Numerical Ability
by
makhdoom ghaya
Boss
(
29.9k
points)

496
views
tifr2010
numericalability
theoryofcomputation
logarithms
+11
votes
1
answer
23
GATE201157
If $\log (\text{P}) = (1/2)\log (\text{Q}) = (1/3)\log (\text{R})$, then which of the following options is TRUE? $\text{P}^2 = \text{Q}^3\text{R}^2$ $\text{Q}^2=\text{P}\text{R}$ $\text{Q}^2 = \text{R}^3\text{P}$ $\text{R}=\text{P}^2\text{Q}^2$
asked
Sep 29, 2014
in
Numerical Ability
by
jothee
Veteran
(
104k
points)

1.3k
views
gate2011
numericalability
normal
numericalcomputation
logarithms
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