NIMCET Logarithms and Indices Previous Year Question Paper and Solution with PDF

NIMCET Previous Year Questions (PYQs) – Logarithms And Indices – Page 1 of 2

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Previous Year Questions
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Qus : 1

The solution set of the inequality

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Qus : 2

The value of

9^{\frac{1}{3}} {.9}^{\frac{1}{9}} {.9}^{\frac{1}{27}} . . . . . \infty

is.

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Qus : 3

l o g_{x}^{y} = 100

and

l o g_{2}^{x} = 10

then the value of y is.

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Qus : 4

The value of

3^{3 - \log_{3} 5}

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Qus : 5

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Qus : 6

\log (1 - x + x^{2}) = a_{1} x + a_{2^{^{}}} x^{2} + {a_{3} x^{3} + . \dots .}^{}

then

a_{3} + a_{6} + a_{9} + . \dots .

is equal to

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Qus : 7

8^{x - 1} = (1 / 4)^{x}

, then the value of

\frac{1}{l o g_{x + 1} 4 - l o g_{x + 1} 5} + \frac{1}{l o g_{1 - x} 4 - l o g_{1 - x} 5}

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Qus : 8

If (x₀, y₀) is the solution of the equations (2x)^ln2 = (3y)^ln3 and 3^lnx = 2^lny, then x₀ is:

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Qus : 9

Let

x

be a positive real number such that

x^{(8 l o g_{5} (x) - 24)} = 5^{- 4}

. Then the product of all possible values of x is =

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Qus : 10

a = l o g_{12}^{18}

b = l o g_{24}^{54}

, then

a b + 5 (a - b)

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NIMCET Previous Year Questions (PYQs) – Logarithms And Indices – Page 1 of 2

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