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Recent questions tagged logarithms
6
votes
5
answers
1
GATE CSE 2024 | Set 2 | GA Question: 4
For positive non-zero real variables $x$ and $y$, if \[ \ln \left(\frac{x+y}{2}\right)=\frac{1}{2}[\ln (x)+\ln (y)] \] then, the value of $\frac{x}{y}+\frac{y}{x}$ is $1$ $1 / 2$ $2$ $4$
Arjun
asked
in
Quantitative Aptitude
Feb 16
by
Arjun
2.4k
views
gatecse2024-set2
quantitative-aptitude
logarithms
1
vote
1
answer
2
GATE Civil 2023 Set 2 | GA Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________. $\frac{1}{2}$ $\log _{16} 8$ $\frac{2}{3}$ $\log _{4} 8$
admin
asked
in
Quantitative Aptitude
May 21, 2023
by
admin
448
views
gatecivil-2023-set2
quantitative-aptitude
logarithms
4
votes
2
answers
3
GATE Civil 2023 Set 1 | GA Question: 9
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers: $\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$ Which one of the following inequalities is $\text{CORRECT?}$ $\log _c a<\log _b a<\log _a b<\log _a c$ ... $\log _c a<\log _b a<\log _a c<\log _a b$ $\log _b a<\log _c a<\log _a b<\log _a c$
admin
asked
in
Quantitative Aptitude
May 21, 2023
by
admin
1.1k
views
gatecivil-2023-set1
quantitative-aptitude
logarithms
0
votes
0
answers
4
Best Open Video Playlist for Logarithms Topic | Quantitative Aptitude
Please list out the best free available video playlist for Logarithms from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... ones are more likely to be selected as best. For the full list of selected videos please see here
makhdoom ghaya
asked
in
Study Resources
Aug 26, 2022
by
makhdoom ghaya
131
views
missing-videos
free-videos
go-classroom
video-links
logarithms
2
votes
0
answers
5
Practice Question | Unacademy
$\log _{2} x \times \log _{x/64}2 = \log _{x/16}2$ x=? Please provide elaborative answer.
anupamsworld
asked
in
Quantitative Aptitude
Jul 25, 2022
by
anupamsworld
381
views
logarithms
2
votes
1
answer
6
NIELIT STA 2021
Which of the following is true ? $\log_{17} 275 = \log_{19} 375$ $\log_{17} 275 > \log_{19} 375$ $\log_{17} 275 < \log_{19} 375$ None of these
rsansiya111
asked
in
Unknown Category
Dec 6, 2021
by
rsansiya111
553
views
normal
logarithms
2
votes
1
answer
7
ISI2014-DCG-26
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
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
414
views
isi2014-dcg
quantitative-aptitude
logarithms
0
votes
0
answers
8
ISI2014-DCG-45
Which of the following is true? $\log(1+x) < x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$ $\log(1+x) < x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$
Arjun
asked
in
Calculus
Sep 23, 2019
by
Arjun
358
views
isi2014-dcg
calculus
functions
logarithms
2
votes
1
answer
9
ISI2014-DCG-67
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
Arjun
asked
in
Quantitative Aptitude
Sep 23, 2019
by
Arjun
470
views
isi2014-dcg
quantitative-aptitude
logarithms
1
vote
2
answers
10
ISI2015-DCG-23
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
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
446
views
isi2015-dcg
quantitative-aptitude
logarithms
4
votes
1
answer
11
ISI2016-DCG-1
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
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
303
views
isi2016-dcg
quantitative-aptitude
logarithms
sequence-series
1
vote
1
answer
12
ISI2016-DCG-23
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
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
387
views
isi2016-dcg
quantitative-aptitude
logarithms
summation
3
votes
2
answers
13
ISI2017-DCG-1
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
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
529
views
isi2017-dcg
quantitative-aptitude
logarithms
summation
2
votes
2
answers
14
ISI2017-DCG-9
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is $2$ $4$ $5$ none of these
gatecse
asked
in
Quantitative Aptitude
Sep 18, 2019
by
gatecse
427
views
isi2017-dcg
quantitative-aptitude
logarithms
2
votes
0
answers
15
the number of digits in 2^64
If log 2= 0.30103, the number of digits in 2^64 is : a.18 b.19 c.20 d.21
shaz
asked
in
Quantitative Aptitude
Feb 23, 2019
by
shaz
2.4k
views
logarithms
3
votes
2
answers
16
GATE Overflow | Mock GATE | Test 1 | Question: 7
What is the value of $\{ ( 1/ \log_3 60)+ (1/ \log_4 60 ) + (1/ \log_5 60) \}$? $0$ $1$ $5$ $60$
Ruturaj Mohanty
asked
in
Quantitative Aptitude
Dec 27, 2018
by
Ruturaj Mohanty
709
views
go-mockgate-1
quantitative-aptitude
logarithms
5
votes
1
answer
17
GATE2018 ME-2: GA-5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______ $-1$ $0$ $1$ $3$
Arjun
asked
in
Quantitative Aptitude
Feb 17, 2018
by
Arjun
3.2k
views
gate2018-me-2
general-aptitude
quantitative-aptitude
logarithms
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