ML Aggarwal Solution Class 9 Chapter 9 Logarithms MCQs
MCQs
Question 1
If log√3 27 = x, then the value of x is
(a) 3
(b) 4
(c) 6
(d) 9
Sol :
⇒log√327=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=5−2
∴x=-2...(d)
Question 3
If log0.5 64 = x, then the value of x is
(a) -4
(b) -6
(c) 4
(d) 6
Question 4
If log103√5x=−3, then the value of x is
(a) 15
(b) −15
(c) -1
(d) 5
Sol :
log3√5x=−3,(3√5)−3=x
x=(513)−3=513(−3)=5−1
x=15
(b)
Question 5
If log (3x + 1) = 2, then the value of x is
(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
⇒2+log10(0.01)
⇒2+(-20)=2-2=0
(d)
Question 7
The value of log8−log2log32 is
(a) 25
(b) 14
(c) −25
(d) 13
Sol :
⇒log8−log2log32=log82log25
⇒=log4log25=log22log25
⇒=2log25log2=25
(a)
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