Question

Given: log4 z = B log2/3z, for all z > 0. Find the value of constant B.

(a) 2/(3!*ln(2))

(b) 1/ln(7)

(c) (4*ln(9))

(d) 1/(2*ln(3))

I got this question during a job interview.

My question is from Discrete Probability in portion Discrete Probability of Discrete Mathematics

Answer 1

Right option is (d) 1/(2*ln(3))

To explain: By using change of base formula we can have ln (x) / ln(4) = B ln(x) / ln(2/3) ⇒

B = 1/(2*ln(3)).