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Which of the below properties are correct? Consider the following Logarithmic Properties – i) y = x(log_x(y)) ii) log_x(1) = 1 iii) log_x(x) = 0 iv) log_x(yz) = log_x(y) + log_x(z) v) log_x(yr) – r x log_x(y)

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Which of the below properties are correct? Consider the following Logarithmic Properties – i) y = x(log_x(y)) ii) log_x(1) = 1 iii) log_x(x) = 0 iv) log_x(yz) = log_x(y) + log_x(z) v) log_x(yr) – r x log_x(y)

(a) 1st 2nd and 4th

(b) 2nd 3rd and 5th

(c) 2nd 4th and 5th

(d) 1st 4th and 5th

The question was asked in exam.

I would like to ask this question from Number Theory in chapter More Number Theory of Cryptograph & Network Security

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Right option is (d) 1st 4th and 5th

Easy explanation: log_x(1) = 0 ; log_x(x) = 1 are the correct versions of ii) and iii).

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