Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-2>Q 10

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If $\frac{1}{2} \leq \log_{0.1} x \leq 2,$ then

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Important Questions on Logarithm and its Applications

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-2>Q 11

Which of the following is correct?

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-2>Q 12

The domain of the function

f (x) = \log_{1 / 2} (- \log_{2} (1 + \frac{1}{\sqrt[4]{x}}) - 1)

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-2>Q 13

If

q^{2} - 4 pr = 0, p > 0,

then the domain of the function

f (x) = \log ({px}^{3} + (p + q) x^{2} + (q + r) x + r)

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-2>Q 14

The range of the function

f (x) = \log_{\sqrt{2}} (2 - \log_{2} (16 \sin^{2} x + 1))

is

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 1

The number of solution(s) of

\log_{4} (x - 1) = \log_{2} (x - 3)

is/are

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 2

Let

(x_{0}, y_{0})

be the solution of the following equations:

${(2 x)}^{\ln (2)} = {(3 y)}^{\ln (3)}$

$3^{\ln (x)} = 2^{\ln (y)}$

Then $x_{0}$ is

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 4

If

3^{x} = 4^{x - 1}

then

x =

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Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-4>Q 1

Find domain of the following functions $f (x) = {(x + 0.5)}^{^{l o g_{(0.5 + x)} \frac{x^{2} + 2 x - 3}{4 x^{2} - 4 x - 3}}}$ .