Question

Transform 54^y = n+1 into equivalent a logarithmic expression.

(a) log12 (n+1)

(b) log41 (n^2)

(c) log63 (n)

(d) log54 (n+1)

I had been asked this question in an online interview.

My query is from Discrete Probability in section Discrete Probability of Discrete Mathematics

Answer 1

The correct answer is (d) log54 (n+1)

To explain I would say: By using the equivalent expression: a^y = x ⇔ y = loga (x) to write 3^x = m as a logarithm: y = log54 (n+1).