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

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NIMCET Previous Year Questions (PYQs)

NIMCET Logarithms And Indices PYQ

Qus : 1

The solution set of the inequality

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Solution

Qus : 2

The value of

${3}^{3-\log _35}$ is

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Qus : 3

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Solution

Qus : 4

$\log (1-x+x^2)={{a}}_1x+{{a}}_{2{}^{{}^{}}}{x}^2+{{{}{{a}}_3{x}^3+.\ldots.}}^{}$ then

${{a}}_3+{{a}}_6+{{a}}_9+.\ldots.$ is equal to

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Solution

Qus : 5

$8^{x-1}=(1/4)^{x}$ , then the value of

$\frac{1}{log_{x+1}4-log_{x+1}5}+\frac{1}{log_{1-x}4-log_{1-x}5}$ is

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Qus : 6

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 : 7

$a = log_{12}^{18}$ ,

$b = log_{24}^{54}$ , then

$ab + 5(a - b)$ is

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Solution

Qus : 8

$x, y, z$ are three consecutive positive integers, then

$log (1 + xz)$ is

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Solution

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NIMCET Logarithms And Indices PYQ

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