This page consists of the sample questions on the important topic of Logarithms for elitmus preparation. The questions are compiled by Tutorial Diary to help you to prepare for the Logarithms topic for your preparation in Quantitative section. Glimpse through these questions and prepare well.

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### ELitmus Logarithms Sample Questions-1 important for Elitmus Preparation Papers

**Question:**Find the value of log(a(a(a)^1/4)^1/4)^1/4 here base is a

a)0

b)1

c)3^0.25

d)None of these

**Answer: (d)**

**Question:**f(x) = logax + logbx + logcx if logax>=1

and logax>logbx>logcx

whats the minimum value of f(x) ?

(a) 1

(b) 2

(c) 3

(d) none of above

**Answer: (a)**

**Question:**If log 2 , log (2^x-1) , log ( 2^x+3) are in A.P, then the value of x will be:

(a) log 5 base 2

b)1/2

c)log 32 base 4

d)log 2 base 5

**Answer: (c)**

**Question:**If log xy^3=a and log x^2y=b

then the value of log y / log x is?

(a) 2a-b /3b-a

(b) 2b-a /3a-b

(c) 3a-b/ 2b-a

(d) 3b-a/2a-b

**Answer: (a)**

**Question:**If logN base3+logN base9, is whole number, then how many number possible for N between 100 to 100?

(a) 1

(b) 20

(c) 111

(d) 121

**Answer: (a)**

**Solution:**we can write logN base3=(logN baseX/log3 baseX);

and logN base9=(logN baseX/log9 baseX);

now, logN base3+logN base9= ( logN baseX / log3 baseX + logN
baseX / log9 baseX)

=logN baseX (1/log3 baseX + 1/2log3 baseX) bcz (3 square =9)

=logN baseX ( 3log3 baseX / 2log3 baseX *log3 baseX) by
simple addition

=logN base X ( 3/2log3 base X)

or =logN base X *3 / log9 base X

or =3 * logN base 9:

so N should be 81 because it is a 9 square and it also ies
between 10 to 100.

**Question:**It is given that f(x)=log(base a)x + log(base b)x; where a is greater than 1 and less than b and value of log(base a)x>1,then what is the minimum value of f(x) will be:

(a) 0

(b) 1

(c) 2

(d) 1+log 2(base 3)

**Answer: (b)**

**Question:**What will be the value of:

log(e(e(e(e.........)^1/3)^1/3)^1/3)^1/3)^1/3

(a) 0

(b) 1

(c)1/3

(d) ½

**Answer: (d)**

**Question:**What will be the value of log(b(b(b........)^1/2)^1/2)^1/2

When base of the algorithm is b?

(a) 0

(b) ½

(c) 1/3

(d) 1

**Answer: (d)**

**Question:**When (2.5) ^10=w

Then w is nearly equal to the value

(a) 5500

(b) 9500

(c) 10500

(d) 5500

**Answer: (b)**

**Solution:**if, W=(2.5)^10

take log both sides

=> logW = 10*log(2.5) =10*log(5/2)

=> logW = 10(log5-log2)= 10*0.398 =3.98

=> W = 10^(3.98)

=> W = 9549 (approx) i.e near to 9500

**Question:**If given equation is: (logA + logB +logC)/log6=6

Then find the count of possible solutions exist

(a) 10

(b) 8

(c) 28

(d) 49

**Answer: (a)**

**Question:**Find the value of

log(3base)N +log(9base)N =

(a) 1

(b) 9

(c) 111

(d) 333

**Answer: (b)**

**Question:**It is given that y>1 and x>=y

What will be the maximum value of log [root x/y]base x +
log[y/x]base y?

(a) -0.5

(b) 0

(c) 1

(d) 0.5

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