General Aptitude - Logarithm

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Question - 1

Find the logarithm of 1728 to he base 2\(\sqrt { 3 } \).

  • A 3.124
  • B 3.1732
  • C 6
  • D 5

Question - 2

If logx \(\frac { 9 }{ 16 } =-\frac { 1 }{ 2 } ,\)then x is

  • A \(-\frac { 1 }{ 2 } \)
  • B \(\frac {2 }{3 } \)
  • C \(\frac { 81 }{ 256 } \)
  • D \(\frac { 256 }{81 } \)

Question - 3

The value of 3 log 3 +2 log 2 is 

  • A log 108
  • B log 106
  • C log 109
  • D None of these

Question - 4

The true statement of the following is 

  • A log (xy)=log x log y
  • B log (xy) = log x + log y
  • C Botha (a) and (b)
  • D None of these

Question - 5

One is the value of 

  • A log102
  • B log10 100
  • C log10 10
  • D log10 1000

Question - 6

The value of [log2 log2 log2 (65536) is

  • A 8
  • B 16
  • C 4
  • D 1

Question - 7

logx x is equal to 

  • A \(\frac { X }{ { log }_{ e }Y } \)
  • B \(X{ log }_{ e }Y\)
  • C \(\frac { { log }_{ e }X }{ { log }_{ e }Y } \)
  • D \(\frac { { log }_{ e }Y }{ { log }_{ e }X } \)

Question - 8

log10 10+ log10 100+ log10 1000+ log10 10000+ log10 100000 is 

  • A 23
  • B 15
  • C 21
  • D 13 log10100

Question - 9

The value of \(\left( \frac { 1 }{ 3 } { log }_{ 10 }\quad 125-2{ log }_{ 10 }\quad 4+{ log }_{ 10 }\quad 32 \right) is\)

  • A \(\frac { 4 }{ 3 } \)
  • B 3
  • C 1
  • D 7

Question - 10

The value of logy X. logz  Y . logX Z is

  • A log xyz
  • B xyz
  • C 1
  • D 0
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