Recent questions from topic real numbers

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Express each of the following numbers as a product of its prime factors. i) 140 ii) 156

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Show that one and only one out of n, n + 2 or n + 4 is divisible by 3, where n is any positive integer.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Use Euclid’s division lemma to show that the cube of a positive integer is of the form 9m, 9m + 1 or 9m + 8.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Use Euclid’s division lemma to show that the square of any positive integer is of the form 3p, 3p + 1.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Use Euclid division lemma to show that any positive odd integer is of the form 6q + 1 or 6q + 3 or 6q + 5, where q is some integers.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Use Euclid’s division algorithm to find the HCF of i) 900 and 270

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Find the value of log2/3 8/27

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Find the value of log100.001

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Find the value of logc √c.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Find the value of log2 32

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Write the following relation in exponential form and find the values of respective variables. i) log2 32 = x

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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By using the formula log^a x^n= n log^a x, convert the following. i) log2 7^25

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Express the logarithms of the following into difference of the logarithms. i) 23/34

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Express the logarithms of the following into sum of the logarithms. i) 35 × 46

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Write the powers to which the bases to be raised in the following. i) 64 = 2^x

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Does log10 0 exist?

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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You know that 2^1 = 2, 4^1 = 4, 8^1 = 8 and 10^1 = 10.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Write the nature of y, a and x in y = a . Can you determine the value of x for a given y? Justify your answer.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Write the following rational numbers as decimal form and find out the block of repeating digits in the quotient.

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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Write the following rational numbers in the form of p/q,

asked Mar 8, 2022 in Number System by Sanjana mali (37.9k points)

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