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Recent questions tagged logarithms
7
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 $1$ $1 / 2$ $2$ $4$
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$$1 / ...
Arjun
2.7k
views
Arjun
asked
Feb 16
Quantitative Aptitude
gatecse2024-set2
quantitative-aptitude
logarithms
+
–
1
votes
1
answer
2
GATE Civil 2023 Set 2 | GA Question: 9
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________. $\frac{1}{2}$ $\log _{16} 8$ $\frac{2}{3}$ $\log _{4} 8$
If $x$ satisfies the equation $4^{8^{x}}=256$, then $x$ is equal to __________.$\frac{1}{2}$ $\log _{16} 8$$\frac{2}{3}$$\log _{4} 8$
admin
479
views
admin
asked
May 21, 2023
Quantitative Aptitude
gatecivil-2023-set2
quantitative-aptitude
logarithms
+
–
4
votes
2
answers
3
GATE Civil 2023 Set 1 | GA Question: 9
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers: $\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$ Which one of the following inequalities is $\text{CORRECT?}$ $\log _c a<\log _b a<\log _a b<\log _a c$ ... $\log _c a<\log _b a<\log _a c<\log _a b$ $\log _b a<\log _c a<\log _a b<\log _a c$
Let $a=30 !, b=50!,$ and $c=100!.$ Consider the following numbers:$$\log _a c, \quad \log _c a, \quad \log _b a, \quad \log _a b$$Which one of the following inequalities ...
admin
1.2k
views
admin
asked
May 21, 2023
Quantitative Aptitude
gatecivil-2023-set1
quantitative-aptitude
logarithms
+
–
4
votes
1
answer
4
GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 1
What will be the value of the following expression? $ \frac{1}{\log _a a b c}+\frac{1}{\log _b a b c}+\frac{1}{\log _c a b c} $
What will be the value of the following expression?$$\frac{1}{\log _a a b c}+\frac{1}{\log _b a b c}+\frac{1}{\log _c a b c}$$
GO Classes
526
views
GO Classes
asked
Mar 14, 2023
Quantitative Aptitude
goclasses2025_csda_wq3
numerical-answers
goclasses
quantitative-aptitude
logarithms
1-mark
+
–
13
votes
4
answers
5
GO Classes CS/DA 2025 | Weekly Quiz 3 | Fundamental Course and Linear Algebra | Question: 13
What will be value of $x$ satisfying the below equation? $ \sqrt{\log _2 x^4}+4 \log _4 \sqrt{\frac{2}{x}}=2 $
What will be value of $x$ satisfying the below equation?$$\sqrt{\log _2 x^4}+4 \log _4 \sqrt{\frac{2}{x}}=2$$
GO Classes
768
views
GO Classes
asked
Mar 14, 2023
Quantitative Aptitude
goclasses2025_csda_wq3
numerical-answers
goclasses
quantitative-aptitude
logarithms
2-marks
+
–
0
votes
0
answers
6
Best Open Video Playlist for Logarithms Topic | Quantitative Aptitude
Please list out the best free available video playlist for Logarithms from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the best playlist and add to GO classroom video lists. You ... ones are more likely to be selected as best. For the full list of selected videos please see here
Please list out the best free available video playlist for Logarithms from Quantitative Aptitude as an answer here (only one playlist per answer). We'll then select the b...
makhdoom ghaya
141
views
makhdoom ghaya
asked
Aug 26, 2022
Study Resources
missing-videos
free-videos
go-classroom
video-links
logarithms
+
–
2
votes
0
answers
7
Practice Question | Unacademy
$\log _{2} x \times \log _{x/64}2 = \log _{x/16}2$ x=? Please provide elaborative answer.
$\log _{2} x \times \log _{x/64}2 = \log _{x/16}2$x=?Please provide elaborative answer.
anupamsworld
406
views
anupamsworld
asked
Jul 25, 2022
Quantitative Aptitude
logarithms
+
–
2
votes
1
answer
8
NIELIT STA 2021
Which of the following is true ? $\log_{17} 275 = \log_{19} 375$ $\log_{17} 275 > \log_{19} 375$ $\log_{17} 275 < \log_{19} 375$ None of these
Which of the following is true ? $\log_{17} 275 = \log_{19} 375$$\log_{17} 275 \log_{19} 375$$\log_{17} 275 < \log_{19} 375$None of these
rsansiya111
584
views
rsansiya111
asked
Dec 6, 2021
Unknown Category
normal
logarithms
+
–
7
votes
1
answer
9
GATE Overflow Test Series | Quantitative Aptitude | Test 1 | Question: 18
If $x = \sqrt{7\sqrt{7\sqrt{7\dots \infty}}},$ then the value of $\log_{49^{3}} x$ is _________ $\dfrac{1}{7}$ $\dfrac{1}{6}$ $\dfrac{1}{3}$ $6$
If $x = \sqrt{7\sqrt{7\sqrt{7\dots \infty}}},$ then the value of $\log_{49^{3}} x$ is _________$\dfrac{1}{7}$$\dfrac{1}{6}$$\dfrac{1}{3}$$6$
gatecse
154
views
gatecse
asked
Jun 14, 2020
Quantitative Aptitude
go2025-quantitative-aptitude-1
logarithms
+
–
2
votes
1
answer
10
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
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}$$\log \big(\frac{x_1+x_2}{2}\big) < \frac{\log x_1+ ...
Arjun
429
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2014-dcg
quantitative-aptitude
logarithms
+
–
0
votes
0
answers
11
ISI2014-DCG-45
Which of the following is true? $\log(1+x) < x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$ $\log(1+x) > x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$ $\log(1+x) < x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for some } x>0$
Which of the following is true?$\log(1+x) < x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$$\log(1+x) x- \frac{x^2}{2} + \frac{x^3}{3} \text{ for all } x>0$$\log(...
Arjun
367
views
Arjun
asked
Sep 23, 2019
Calculus
isi2014-dcg
calculus
functions
logarithms
+
–
2
votes
1
answer
12
ISI2014-DCG-67
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then $y=0$ $y=1$ $y=2$ $y=3$
Let $y=[\:\log_{10}3245.7\:]$ where $[ a ]$ denotes the greatest integer less than or equal to $a$. Then$y=0$$y=1$$y=2$$y=3$
Arjun
496
views
Arjun
asked
Sep 23, 2019
Quantitative Aptitude
isi2014-dcg
quantitative-aptitude
logarithms
+
–
1
votes
2
answers
13
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
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
465
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2015-dcg
quantitative-aptitude
logarithms
+
–
4
votes
1
answer
14
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
The sequence $\dfrac{1}{\log_{3} 2},\dfrac{1}{\log_{6} 2},\dfrac{1}{\log_{12} 2},\dfrac{1}{\log_{24} 2}\cdots$ is inArithmetic progression (AP)Geometric progression (GP)H...
gatecse
318
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
logarithms
sequence-series
+
–
1
votes
1
answer
15
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
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
410
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2016-dcg
quantitative-aptitude
logarithms
summation
+
–
3
votes
2
answers
16
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
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
561
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
logarithms
summation
+
–
2
votes
2
answers
17
ISI2017-DCG-9
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is $2$ $4$ $5$ none of these
The solution of $\log_5(\sqrt{x+5}+\sqrt{x})=1$ is$2$$4$$5$none of these
gatecse
448
views
gatecse
asked
Sep 18, 2019
Quantitative Aptitude
isi2017-dcg
quantitative-aptitude
logarithms
+
–
2
votes
0
answers
18
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
If log 2= 0.30103, the number of digits in 2^64 is :a.18 b.19 c.20 d.21
shaz
2.5k
views
shaz
asked
Feb 23, 2019
Quantitative Aptitude
logarithms
+
–
3
votes
2
answers
19
GATE Overflow | Mock GATE | Test 1 | Question: 7
What is the value of $\{ ( 1/ \log_3 60)+ (1/ \log_4 60 ) + (1/ \log_5 60) \}$? $0$ $1$ $5$ $60$
What is the value of $\{ ( 1/ \log_3 60)+ (1/ \log_4 60 ) + (1/ \log_5 60) \}$?$0$$1$$5$$60$
Ruturaj Mohanty
759
views
Ruturaj Mohanty
asked
Dec 27, 2018
Quantitative Aptitude
go-mockgate-1
quantitative-aptitude
logarithms
+
–
5
votes
1
answer
20
GATE2018 ME-2: GA-5
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______ $-1$ $0$ $1$ $3$
The value of the expression $\dfrac{1}{1+ \log_u \: vw} + \dfrac{1}{1+ \log_v \: wu} + \dfrac{1}{1+\log_w uv}$ is _______$-1$$0$$1$$3$
Arjun
3.2k
views
Arjun
asked
Feb 17, 2018
Quantitative Aptitude
gate2018-me-2
general-aptitude
quantitative-aptitude
logarithms
+
–
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