ML Aggarwal Solution Class 9 Chapter 9 Logarithms MCQs

 MCQs

correct Solution from the given four options (1 to 7):

Question 1

If log√3 27 = x, then the value of x is

(a) 3

(b) 4

(c) 6

(d) 9

Sol :

log327=x

(3)x=27

(3)12xx=33

3x2=33

x2=3

⇒x=6...(c)


Question 2

If log5 (0.04) = x, then the value of x is

(a) 2

(b) 4

(c) -4

(d) -2

Sol :

log5(0.04)=x

5x=0.04=4100=125=52

∴x=-2...(d)


Question 3

If log0.5 64 = x, then the value of x is

(a) -4

(b) -6

(c) 4

(d) 6

Sol :
log0.564=x
0.5x=64
=(12)x=26
2x=26
∴-x=6⇒x=-6...(b)

Question 4

If log1035x=3, then the value of x is

(a) 15

(b) 15

(c) -1

(d) 5

Sol :

log35x=3,(35)3=x

x=(513)3=513(3)=51

x=15

(b)


Question 5

If log (3x + 1) = 2, then the value of x is

(a) 13

(b) 99

(c) 33

(d) 193

Sol :

⇒log (3x+1)=2=log 100 (∵ log 100=2)

∴3x+1=100

⇒3x=100-1=99

x=993=33

(c)


Question 6

The value of 2+log10(0.01) is

(a) 4

(b) 3

(c) 1

(d) 0

Sol :

2+log10(0.01)

⇒2+(-20)=2-2=0

(d)


Question 7

The value of log8log2log32 is

(a) 25

(b) 14

(c) 25

(d) 13

Sol :

log8log2log32=log82log25

=log4log25=log22log25

=2log25log2=25

(a)

Comments

Popular posts from this blog

ML Aggarwal Solution Class 10 Chapter 15 Circles Exercise 15.1

ML Aggarwal Solution Class 9 Chapter 20 Statistics Exercise 20.2

ML Aggarwal Solution Class 9 Chapter 3 Expansions Exercise 3.2