Aptitude · all questions

Logarithm
practice.

Practice every MCQ with options. Use Show answers when you want the correct option and solution.

47

Questions

2/3

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Q21

If

lo g_{10000} x = - \frac{1}{4},

then the value of x is = ?

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Q22

\frac{lo g 8}{lo g 8} is equal to = ?

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Q23

The value of

\frac{6 lo g _{10} 1000}{3 lo g _{10} 100}

is equal to -

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Q24

If

lo g_{2} [lo g_{3} (lo g_{2} x)] = 1,

then x is equal to = ?

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Q25

What is the value of the following expression?

lo g (\frac{9}{14}) -

lo g (\frac{15}{16}) +

lo g (\frac{35}{24})

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Q26

2 lo g_{10}^{5} +

lo g_{10} 8 -

\frac{1}{2} lo g_{10} 4

= ?

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Q27

If

lo g_{a} (ab) = x,

then

lo g_{b} (ab)

is -

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Q28

If

lo g_{10} 2 = a

and

lo g_{10} 3 = b,

then

lo g_{5} 12

= ?

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Q29

If

lo g_{10} 125 + lo g_{10} 8 = x,

then x is equal to -

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Q30

If

lo g_{5} (x^{2} + x) -

lo g_{5} (x + 1)

= 2, then the value of x is -

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Q31

\frac{1}{2} (lo g x + lo g y)

will equal to

lo g (\frac{x + y}{2})

if -

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Q32

If

lo g \frac{a}{b} + lo g \frac{b}{a} =

lo g (a + b),

then -

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Q33

lo g (\frac{a ^{2}}{b c}) +

lo g (\frac{b ^{2}}{a c}) +

lo g (\frac{c ^{2}}{ab})

is equal to -

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Q34

\frac{1}{lo g _{a} b} \times \frac{1}{lo g _{b} c} \times \frac{1}{lo g _{c} a}

is equal to -

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Q35

\frac{1}{( lo g _{a} b c ) + 1} +

\frac{1}{( lo g _{b} c a ) + 1} +

\frac{1}{( lo g _{c} ab ) + 1}

is equal to -

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Q36

If

lo g_{10} 7 = a,

then

lo g_{10} (\frac{1}{70})

is equal to -

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Q37

If

lo g x - 5 lo g 3 = - 2,

then x equals -

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Q38

If

a = b^{2} = c^{3} = d^{4},

then the value of

lo g_{a} (ab c d)

would be -

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Q39

If

lo g_{3} x + lo g_{9} x^{2} + lo g_{27} x^{3}

= 9,

then x equals to -

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Q40

If

lo g_{7} lo g_{5} (x + 5 + x)

= 0,

what is the value of x ?

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