Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-1>Q 14

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If $\log_{c} 2 \cdot \log_{b} 625 = \log_{10} 16 \cdot \log_{c} 10$ where $c > 0; c \neq 1; b > 1; b \neq 1$ determine $b$ -

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Important Questions on Logarithm and Its Applications

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-1>Q 15

Number of cyphers after decimal before a significant figure comes in

{(\frac{5}{3})}^{- 100}

is -

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 1

Which of the following when simplified reduces to an integer?

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 2

The equation

\frac{\log_{8} (\frac{8}{x^{2}})}{{(\log_{8} x)}^{2}} = 3

has -

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 3

Which of the following when simplified, vanishes?

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 4

Which of the following, when simplified, reduces to unity?

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 5

The number

N = \frac{1 + 2 \log_{3} 2}{{(1 + \log_{3} 2)}^{2}} + \log_{6}^{2} 2

when simplified reduces to -

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 6

Which of the following are correct?

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Beta Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and Its Applications>EXERCISE-2>Q 7

If

p, q \in N

satisfy the equation

x^{\sqrt{x}} = {(\sqrt{x})}^{x}

then

p

&

q

are -